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That would depend on your point of view, religious belief and mythological inclination.

By Hindu Mthology, all matter is one, and (Like enegry) it can not be created or destroyed. It only changes form. By this view point, the weight of the wolds populace will have no impact on the worlds total mass, as it is all the same, considering the mass one body loses would be made up for in a different form by a different body.

Speaking from a western scientific point of view, it might increase the relative mass of the planet to a small degree, but as the mass of the planet is calculated by measuring the gravitational forrce other nearby bodies exert on it, the amount of mass gained (i.e: combined weight of all the fat people) would need to be high enough to reduce the gravitational attraction between heavenly objects for it to be considered a significant increase in planetary mass.

The same principle in reverse should answer your question regarding weight loss.

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Q: If more of us weren't obese would the world weigh less?
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