The distance between two objects is increased by three times the oringinal distance. how will this change the force of attraction between two objects

The distance between two objects is increased by three times the oringinal distance.  Since they were already separated by one time the original distance,
the additional three times the oringinal distance now puts them four times the original distance apart.

Whether we're talking about the gravitational forces of attraction or
the electrical forces of attraction, either one is inversely proportional
to the square of the distance between the objects. 

So changing the distance to four times the original distance causes
the forces to become 1/4² as strong as they were originally. 

The forces become 1/16 of their original magnitude.