Wired and wireless computers on the same network?

Question

Here’s the scenario: I’ve got Verizon FIOS which comes with a modem with four Ethernet ports. I have an Airport Extreme plugged into the modem. There are six macs in the house (three desktops and three laptops) and they can all connect wirelessly although the signal fades in the living room and in my son’s room. I decided to run an Ethernet cable from the modem to the G5 that is in the living room and another one to my son’s room. Everything works fine but the “wired” computers are now no longer on the same network.
(At first I thought it was neat: if I was near the G5 and the signal from the Airport Extreme was weak, I could just hop onto the G5’s network (which has “Internet sharing” via airport enabled) but it’s become a nuisance because we always seem to be needing to change from one network to another: The computer connected to the printers is on Airport Extreme so I can’t print from the G5 unless I change the settings; if we’re in the bedroom connected to the Internet via the AirPort Extreme, we can’t access our iTunes music from the G5 without switching networks.)
I don’t know if there is a solution but it seems there should be.
I’d like to have two computers hard-wired and have all of them be part of the same home network. Is that possible?

Answer 1

The solution is simple. Configure the AirPort Extreme base station (AEBS) so that the option to distribute IP addresses is DISABLED.
This will disable the AEBS's DHCP server and NAT. The net effect will be that anything connected to the AEBS's WAN port (anything connected to Verizon's router's LAN ports like your Ethernet computers) on the same subnet as the AEBS's LAN and wireless clients.