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Finding the Fourth Proportional to 392,509,840.38, 541,667,162.02 and 216,304,157.96

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Solution

The fourth proportional to 392,509,840.38, 541,667,162.02 and 216,304,157.96 is: 298,501,712.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,509,840.38 : 541,667,162.02 = 216,304,157.96 : x
  2. Step 2: Convert to fraction form
    392,509,840.38/541,667,162.02 = 216,304,157.96/x
  3. Step 3: Cross multiply
    392,509,840.38x = 541,667,162.02 × 216,304,157.96
  4. Step 4: Simplify right side
    392,509,840.38x = 117,164,859,375,318,992
  5. Step 5: Solve for x
    x = 117,164,859,375,318,992/392,509,840.38
  6. Step 6: Final answer
    x = 298,501,712.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.