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Finding the Fourth Proportional to 2,016,234,502.05, 3,024,351,753.09 and 2,016,234,502.05

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Solution

The fourth proportional to 2,016,234,502.05, 3,024,351,753.09 and 2,016,234,502.05 is: 3,024,351,753.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016,234,502.05 : 3,024,351,753.09 = 2,016,234,502.05 : x
  2. Step 2: Convert to fraction form
    2,016,234,502.05/3,024,351,753.09 = 2,016,234,502.05/x
  3. Step 3: Cross multiply
    2,016,234,502.05x = 3,024,351,753.09 × 2,016,234,502.05
  4. Step 4: Simplify right side
    2,016,234,502.05x = 6,097,802,350,915,461,120
  5. Step 5: Solve for x
    x = 6,097,802,350,915,461,120/2,016,234,502.05
  6. Step 6: Final answer
    x = 3,024,351,753.09

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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.