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Finding the Fourth Proportional to 410,902,138.67, 616,344,572.72 and 100,011,489.09

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Solution

The fourth proportional to 410,902,138.67, 616,344,572.72 and 100,011,489.09 is: 150,015,131.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,902,138.67 : 616,344,572.72 = 100,011,489.09 : x
  2. Step 2: Convert to fraction form
    410,902,138.67/616,344,572.72 = 100,011,489.09/x
  3. Step 3: Cross multiply
    410,902,138.67x = 616,344,572.72 × 100,011,489.09
  4. Step 4: Simplify right side
    410,902,138.67x = 61,641,538,509,766,936
  5. Step 5: Solve for x
    x = 61,641,538,509,766,936/410,902,138.67
  6. Step 6: Final answer
    x = 150,015,131.85

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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.