Usually, everything works fine together with
line level connections (RCA with regular consumer equipment). Line level is rather vaguely controlled & defined but most consumer equipment has high-enough line-output, and the line inputs usually have enough gain so everything works fine.
Pro line level (usually XLR balanced) is "hotter" and high outputs aren't a problem because they can always be turned down . But if you have an amplifier with XLR inputs and you are feeding it from a regular unbalanced consumer output you
might not have enough gain for full-power.
Is the simple result of it that I can basically combine all devices and then control the problems with the volume controls?
Mostly yes. You can always turn the volume down but sometimes you can't turn it up enough.
Can you use RCA components with balanced ones?
Can you use RCA components and balanced components mixed?
Unbalanced outputs can always go into balanced inputs.
The other way around, balanced into-unbalanced inputs, usually works but sometimes it's a problem. I'd avoid it unless the manufacture (of the balanced device) says it's OK.
Can you use a power amp straight with any device controlling volume?
Something should control the volume.
With software volume control, sometimes something goes-wrong and you get a full-volume blast that might blow your speakers (or your ears!) or it might just be annoying. A physical knob tends to be more reliable.
Can I also connect a preamplifier to an integrated amplifier or will there a problem?
Yes. Any line-level output to a line-level input is OK. But since an integrated amp already has a preamp, that's rarely necessary.
As far as loudspeakers are concerned: Amplifiers should have more watts available than the specification of the loudspeaker shows.
Not true. A 100W speaker is supposed to be safe with a 100W amplifier that's hitting 100W on the program peaks. too much power into a speaker can damage it!* But it's a "fuzzy" thing because music has short-term peaks with a much lower average, and it's the short-term average that burns-up speakers. And a tweeter can't handle as much power as a woofer. You can burn-up a 100W speaker with continuous 100W test-tones, and high-frequency continuous tones are more dangerous...
When you over-drive an amplifier onto clipping, the peaks don't go up, but the average does so "heating power" increases and you're more likely to burn out the speaker. And the clipping introduces harmonics (higher frequencies) which can go to the tweeter. And with most amplifiers you can get more total power with clipped waves than with clean sine waves. Theoretically, you might get 200W from a 100W amp if you "push" the sine wave such bad clipping that you have a square wave.
Some electronics math:
Ohm's Law (Current = Voltage / Resistance) defines relationship between voltage, resistance, and current. Resistance (and impedance which is also Ohms) is "
the resistance to current flow."
Power is calculated as power (Watts) = Voltage x Current. Or along with Ohm's Law, you can derive Power = Voltage Squared/Resistance.
Amplifiers basically put-out a
voltage so with 4-Ohm speakers you can often get twice the power as with 8-Ohm speakers. But, the amp has to be
capable of putting-out twice the current, and if not the maximum voltage will drop and you'll clip at lower wattage. (It's common for amplifier to put-out slightly less than twice the power with 4-Ohm speakers.) If the speaker impedance is too low, you'll "pull" excess current and the amplifier might shut-down, or it might blow a fuse, or it might burn-up and die.
Input impedances (of amplifiers & preamps) isn't much of a concern, except for microphone and phono inputs which have certain standards/requirements. As somebody said above, you don't "match" impedance.
* There is a myth that over-driven lower-power amplifiers are worse. Although, you can burn-up a speaker with an over-driven "small" amplifier, a higher power amp (driven to its maximum) is even worse!