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Finding the Fourth Proportional to 497,738,414.70, 746,607,622.05 and 497,738,414.70

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Solution

The fourth proportional to 497,738,414.70, 746,607,622.05 and 497,738,414.70 is: 746,607,622.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,738,414.70 : 746,607,622.05 = 497,738,414.70 : x
  2. Step 2: Convert to fraction form
    497,738,414.70/746,607,622.05 = 497,738,414.70/x
  3. Step 3: Cross multiply
    497,738,414.70x = 746,607,622.05 × 497,738,414.70
  4. Step 4: Simplify right side
    497,738,414.70x = 371,615,294,202,103,744
  5. Step 5: Solve for x
    x = 371,615,294,202,103,744/497,738,414.70
  6. Step 6: Final answer
    x = 746,607,622.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.