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Finding the Fourth Proportional to 125,469,432,003.40, 176,098,003,227.80 and 125,469,432,003.40

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Solution

The fourth proportional to 125,469,432,003.40, 176,098,003,227.80 and 125,469,432,003.40 is: 176,098,003,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,469,432,003.40 : 176,098,003,227.80 = 125,469,432,003.40 : x
  2. Step 2: Convert to fraction form
    125,469,432,003.40/176,098,003,227.80 = 125,469,432,003.40/x
  3. Step 3: Cross multiply
    125,469,432,003.40x = 176,098,003,227.80 × 125,469,432,003.40
  4. Step 4: Simplify right side
    125,469,432,003.40x = 22,094,916,441,924,964,450,304
  5. Step 5: Solve for x
    x = 22,094,916,441,924,964,450,304/125,469,432,003.40
  6. Step 6: Final answer
    x = 176,098,003,227.80

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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.