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Finding the Fourth Proportional to 474,984,153.30, 711,342,489.14 and 474,984,153.30

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Solution

The fourth proportional to 474,984,153.30, 711,342,489.14 and 474,984,153.30 is: 711,342,489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,984,153.30 : 711,342,489.14 = 474,984,153.30 : x
  2. Step 2: Convert to fraction form
    474,984,153.30/711,342,489.14 = 474,984,153.30/x
  3. Step 3: Cross multiply
    474,984,153.30x = 711,342,489.14 × 474,984,153.30
  4. Step 4: Simplify right side
    474,984,153.30x = 337,876,409,910,477,376
  5. Step 5: Solve for x
    x = 337,876,409,910,477,376/474,984,153.30
  6. Step 6: Final answer
    x = 711,342,489.14

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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.