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Finding the Fourth Proportional to 10,820,732,557.60, 16,231,098,836.40 and 10,820,732,557.60

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Solution

The fourth proportional to 10,820,732,557.60, 16,231,098,836.40 and 10,820,732,557.60 is: 16,231,098,836.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820,732,557.60 : 16,231,098,836.40 = 10,820,732,557.60 : x
  2. Step 2: Convert to fraction form
    10,820,732,557.60/16,231,098,836.40 = 10,820,732,557.60/x
  3. Step 3: Cross multiply
    10,820,732,557.60x = 16,231,098,836.40 × 10,820,732,557.60
  4. Step 4: Simplify right side
    10,820,732,557.60x = 175,632,379,624,656,961,536
  5. Step 5: Solve for x
    x = 175,632,379,624,656,961,536/10,820,732,557.60
  6. Step 6: Final answer
    x = 16,231,098,836.40

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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.