Finding the Fourth Proportional to 859,413,669,943.56, 1,185,994,551,669.60 and 468,788,746,366.68
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Solution
The fourth proportional to 859,413,669,943.56, 1,185,994,551,669.60 and 468,788,746,366.68 is: 646,930,481,233.12
Step by Step Solution
- Step 1: Write the proportion equation
859,413,669,943.56 : 1,185,994,551,669.60 = 468,788,746,366.68 : x - Step 2: Convert to fraction form
859,413,669,943.56/1,185,994,551,669.60 = 468,788,746,366.68/x - Step 3: Cross multiply
859,413,669,943.56x = 1,185,994,551,669.60 × 468,788,746,366.68 - Step 4: Simplify right side
859,413,669,943.56x = 555,980,899,074,904,485,265,408 - Step 5: Solve for x
x = 555,980,899,074,904,485,265,408/859,413,669,943.56 - Step 6: Final answer
x = 646,930,481,233.12
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.