Umm.. Ips are individual... Your ip is different from your neighbour's, etc etc.
Well that is unless you are at an internet Cafe or something like that (do those Still exist?)..
FYI, your comments alone make it very suspect that you arnt at fault.
You said before, "you went meaning to. Cheat".. That sounds like an admission of guilt to me, and then your comment about ips makes you look guilty as well, by assuming that the person was in your city....
FYI, you can see on your Google the ips of where you logged in from. They would have had to of logged into your gooe account to do so,..
Which also begs to ask the question, did you get your account back? (google)