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Finding the Fourth Proportional to 133,488,023.20, 187,420,709.60 and 133,488,023.20

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Solution

The fourth proportional to 133,488,023.20, 187,420,709.60 and 133,488,023.20 is: 187,420,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,488,023.20 : 187,420,709.60 = 133,488,023.20 : x
  2. Step 2: Convert to fraction form
    133,488,023.20/187,420,709.60 = 133,488,023.20/x
  3. Step 3: Cross multiply
    133,488,023.20x = 187,420,709.60 × 133,488,023.20
  4. Step 4: Simplify right side
    133,488,023.20x = 25,018,420,031,245,264
  5. Step 5: Solve for x
    x = 25,018,420,031,245,264/133,488,023.20
  6. Step 6: Final answer
    x = 187,420,709.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.