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Finding the Fourth Proportional to 3,982,904,998.20, 5,974,357,497.30 and 3,982,904,998.20

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Solution

The fourth proportional to 3,982,904,998.20, 5,974,357,497.30 and 3,982,904,998.20 is: 5,974,357,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982,904,998.20 : 5,974,357,497.30 = 3,982,904,998.20 : x
  2. Step 2: Convert to fraction form
    3,982,904,998.20/5,974,357,497.30 = 3,982,904,998.20/x
  3. Step 3: Cross multiply
    3,982,904,998.20x = 5,974,357,497.30 × 3,982,904,998.20
  4. Step 4: Simplify right side
    3,982,904,998.20x = 23,795,298,337,029,812,224
  5. Step 5: Solve for x
    x = 23,795,298,337,029,812,224/3,982,904,998.20
  6. Step 6: Final answer
    x = 5,974,357,497.30

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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.