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Finding the Fourth Proportional to 131,909,502,001.87, 197,864,253,002.80 and 131,909,502,001.87

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Solution

The fourth proportional to 131,909,502,001.87, 197,864,253,002.80 and 131,909,502,001.87 is: 197,864,253,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,909,502,001.87 : 197,864,253,002.80 = 131,909,502,001.87 : x
  2. Step 2: Convert to fraction form
    131,909,502,001.87/197,864,253,002.80 = 131,909,502,001.87/x
  3. Step 3: Cross multiply
    131,909,502,001.87x = 197,864,253,002.80 × 131,909,502,001.87
  4. Step 4: Simplify right side
    131,909,502,001.87x = 26,100,175,077,571,358,097,408
  5. Step 5: Solve for x
    x = 26,100,175,077,571,358,097,408/131,909,502,001.87
  6. Step 6: Final answer
    x = 197,864,253,002.80

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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.