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Finding the Fourth Proportional to 218,593,938.80, 328,016,879.40 and 82,377,081.20

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Solution

The fourth proportional to 218,593,938.80, 328,016,879.40 and 82,377,081.20 is: 123,613,094.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,593,938.80 : 328,016,879.40 = 82,377,081.20 : x
  2. Step 2: Convert to fraction form
    218,593,938.80/328,016,879.40 = 82,377,081.20/x
  3. Step 3: Cross multiply
    218,593,938.80x = 328,016,879.40 × 82,377,081.20
  4. Step 4: Simplify right side
    218,593,938.80x = 27,021,073,109,304,408
  5. Step 5: Solve for x
    x = 27,021,073,109,304,408/218,593,938.80
  6. Step 6: Final answer
    x = 123,613,094.02

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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.