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> Usually fractional shares are calculated to the third or fourth decimal place.

Does this mean that it's possible that the total number of shares people own doesn't add up exactly to the number issued?

You’re conflating floating point numbers with decimals.

I m win it shares.are rounded to four places during a dilution event, what happens to the cumulative rounding error?

rounding is performed such that all the pieces add to 100%

so somebody gets the piece that in your mind is in question. I don't know where the piece goes or i would tell you, but it's not lost