The new weight is 273.8 N
Explanation:
The weight of an object on Earth is given by

where
m is the mass of the object
g is the acceleration of gravity
The acceleration of gravity at the Earth's surface can be rewritten as

where
G is the gravitational constant
M is the Earth's mass
R is the Earth's radius
Substituting into the previous equation,

We said that in normal conditions, the weight of the person is 730 N:

Later, we are said that:
- The mass of the Earth increases by a factor of 6,

- The radius of the Earth increases by a factor of 4,

Substituting into the equation, we find the new weight of the person in these conditions:

So, the new weight is 3/8 of the original weight, therefore:

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