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Finding the Fourth Proportional to 125,469,431,998.40, 176,098,003,220.80 and 125,469,431,998.40

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Solution

The fourth proportional to 125,469,431,998.40, 176,098,003,220.80 and 125,469,431,998.40 is: 176,098,003,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,469,431,998.40 : 176,098,003,220.80 = 125,469,431,998.40 : x
  2. Step 2: Convert to fraction form
    125,469,431,998.40/176,098,003,220.80 = 125,469,431,998.40/x
  3. Step 3: Cross multiply
    125,469,431,998.40x = 176,098,003,220.80 × 125,469,431,998.40
  4. Step 4: Simplify right side
    125,469,431,998.40x = 22,094,916,440,166,187,925,504
  5. Step 5: Solve for x
    x = 22,094,916,440,166,187,925,504/125,469,431,998.40
  6. Step 6: Final answer
    x = 176,098,003,220.80

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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.