As some people here said, Sam probably followed Frodo after he went over the sea. I believe in the appendices it says that Sam only goes after Rose has died, which I'd imagine is probably quite a while later. If Hobbits live out their usual life span in wherever they go after the Grey Havens (forgot the name, oops), and since Frodo was quite a bit older than Sam, then wouldn't Frodo be dead by the time Sam went?
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