Can firewalls Hide IP address during surfing and in emails?

An ISP's proxy used only as cache to save accessed pages for faster access is not, however the solution right? An ISP's proxy still sends out an IP address of its own I think. Is that address different every time one logs on thru dialup, like an IP address used without a proxy?

Do IP adresses thru dialup of the same user have numbers close to each other, therefore denoting that it is the same user or different users living close by?
 
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