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While it's possible to locate software to do this stuff, I personally just do it myself in about the same time by just backing up the three folders that make up Firefox (in Vista and Windows 7, I haven't run XP in so long I can't even begin to tell you how to do this on that OS anymore).
Regardless, on Vista/Windows 7 you'll need three folders:
\Program Files\Mozilla Firefox (if you're running the 64 bit version of either OS, it'll be \Program Files (x86)\Mozilla Firefox)
\Users\<username>\AppData\Local\Mozilla
\Users\<username>\AppData\Roaming\Mozilla
The last two are hidden because AppData is a hidden system folder, you need to enable the ability to view such folders in the Explorer options to be able to see and access them.
Once you've copied those three folders to someplace else, you have a 100% perfect backup of Firefox, with everything as it was at the moment you made the backup: the cache, the addons, the extensions, the settings, etc.
I know that third party software basically goes in and makes copies of most of the content related to user profiles in Firefox, but I've had them fail on me so many times when it comes to restoring them that I finally gave up and figured out this better way of doing things. By copying those three folders, you've done more than just create a backup, you've basically recreated Firefox completely, bit-for-bit, and not just some of the profile data.
Works for me, maybe it'll work for you. When I do a clean install, I do that 3 folder copy to a safe location, reinstall the OS, and then drop those three folders right back into their same target locations, then run Firefox and about the only thing I have to do is click "Yes" when it asks to become the default browser on the new install. The rest is exactly where it was at the time I made the backup.
Hope this helps...