Final answer:
A mutation causing the loss of prothrombin production would lead to a hemophilia-like disorder with prolonged bleeding and difficulties forming blood clots, potentially requiring treatment with clotting factor infusions.
Step-by-step explanation:
Prothrombin is a vital protein in the blood clotting process, which turns into thrombin in the presence of clotting factors and aids in converting fibrinogen to fibrin to form a blood clot. The inability of the body to produce prothrombin, due to a random mutation, would lead to a condition similar to hemophilia, where the blood does not clot properly. A person with such a mutation may experience prolonged bleeding from even minor injuries, as well as potential spontaneous internal bleeding, which can be life-threatening. Regular infusions of clotting factors, akin to treatments for hemophiliacs, might become necessary to manage this condition.