Trying to chain 4 routers together.. possible?

I have comcast 50mb internet and 3 other routers that I am trying to connect throughout my duplex house. I am running 50 ft cat5 cables to them throughout the house and have them powered on and connected. The modem that is initially hooked to the coax cable is also a router.. an Apple extreme n router is hooked to the comcast modem/router.. Linksys g router hooked to the Apple extreme and a netgear n router is hooked to the linksys. Im pretty sure they are still showing their original wireless connection names on my pc, but i want them all to just run off the one wifi connection. Any help would be greatly appreciated.

I was looking at something like this for assistance but not exactly sure.. I am pretty well educated when it comes to internet and routers as far as port forwarding, but this is a little out of my element.. Thanks

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Clarification Request
Are you most interested in the wifi or wired functions?

By chaining, it sounds like you could be wanting separation of various networks but I'm wondering if you're just wanting the switch ports on the routers. If that's the case, you can just buy one switch, run your wire and have it done. If you're wanting the wireless function but want a single network, you configure your other routers as APs. You turn off DHCP, use only the LAN ports and configure your wifi identity and security in the same way you do on the other wireless routers.

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Looking for single network wifi.

Looking for single network wifi.. basically extending the range throughout

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In short no.

You will learn however first hand why I wrote no.

While I have used such to extend coverage I learned to configure routers as WAP (s) then connect each accordingly then give them their own SSID.

You may want to try this all out with a single SSID and repeat what I learned.

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