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Finding the Fourth Proportional to 318,982,214.40, 478,697,270.40 and 137,359,737.60

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Solution

The fourth proportional to 318,982,214.40, 478,697,270.40 and 137,359,737.60 is: 206,136,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,982,214.40 : 478,697,270.40 = 137,359,737.60 : x
  2. Step 2: Convert to fraction form
    318,982,214.40/478,697,270.40 = 137,359,737.60/x
  3. Step 3: Cross multiply
    318,982,214.40x = 478,697,270.40 × 137,359,737.60
  4. Step 4: Simplify right side
    318,982,214.40x = 65,753,731,451,980,240
  5. Step 5: Solve for x
    x = 65,753,731,451,980,240/318,982,214.40
  6. Step 6: Final answer
    x = 206,136,042.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.