Finding the Fourth Proportional to 517,569,024,462.64, 776,436,959,874.60 and 159,420,831,491.99
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Solution
The fourth proportional to 517,569,024,462.64, 776,436,959,874.60 and 159,420,831,491.99 is: 239,156,943,120.46
Step by Step Solution
- Step 1: Write the proportion equation
517,569,024,462.64 : 776,436,959,874.60 = 159,420,831,491.99 : x - Step 2: Convert to fraction form
517,569,024,462.64/776,436,959,874.60 = 159,420,831,491.99/x - Step 3: Cross multiply
517,569,024,462.64x = 776,436,959,874.60 × 159,420,831,491.99 - Step 4: Simplify right side
517,569,024,462.64x = 123,780,225,744,321,590,067,200 - Step 5: Solve for x
x = 123,780,225,744,321,590,067,200/517,569,024,462.64 - Step 6: Final answer
x = 239,156,943,120.46
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.