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Finding the Fourth Proportional to 125,469,432,001.40, 176,098,003,225 and 125,469,432,001.40

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Solution

The fourth proportional to 125,469,432,001.40, 176,098,003,225 and 125,469,432,001.40 is: 176,098,003,225

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,469,432,001.40 : 176,098,003,225 = 125,469,432,001.40 : x
  2. Step 2: Convert to fraction form
    125,469,432,001.40/176,098,003,225 = 125,469,432,001.40/x
  3. Step 3: Cross multiply
    125,469,432,001.40x = 176,098,003,225 × 125,469,432,001.40
  4. Step 4: Simplify right side
    125,469,432,001.40x = 22,094,916,441,221,453,840,384
  5. Step 5: Solve for x
    x = 22,094,916,441,221,453,840,384/125,469,432,001.40
  6. Step 6: Final answer
    x = 176,098,003,225

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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.