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Finding the Fourth Proportional to 20,687,616,105.90, 31,031,424,158.86 and 20,687,616,105.90

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Solution

The fourth proportional to 20,687,616,105.90, 31,031,424,158.86 and 20,687,616,105.90 is: 31,031,424,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,687,616,105.90 : 31,031,424,158.86 = 20,687,616,105.90 : x
  2. Step 2: Convert to fraction form
    20,687,616,105.90/31,031,424,158.86 = 20,687,616,105.90/x
  3. Step 3: Cross multiply
    20,687,616,105.90x = 31,031,424,158.86 × 20,687,616,105.90
  4. Step 4: Simplify right side
    20,687,616,105.90x = 641,966,190,217,846,587,392
  5. Step 5: Solve for x
    x = 641,966,190,217,846,587,392/20,687,616,105.90
  6. Step 6: Final answer
    x = 31,031,424,158.86

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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.