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Finding the Fourth Proportional to 463,025,038.20, 638,951,087.34 and 274,861,375.08

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Solution

The fourth proportional to 463,025,038.20, 638,951,087.34 and 274,861,375.08 is: 379,294,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,025,038.20 : 638,951,087.34 = 274,861,375.08 : x
  2. Step 2: Convert to fraction form
    463,025,038.20/638,951,087.34 = 274,861,375.08/x
  3. Step 3: Cross multiply
    463,025,038.20x = 638,951,087.34 × 274,861,375.08
  4. Step 4: Simplify right side
    463,025,038.20x = 175,622,974,475,133,568
  5. Step 5: Solve for x
    x = 175,622,974,475,133,568/463,025,038.20
  6. Step 6: Final answer
    x = 379,294,768.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.