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Finding the Fourth Proportional to 82,598,475.60, 123,897,713.40 and 50,349,848.40

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Solution

The fourth proportional to 82,598,475.60, 123,897,713.40 and 50,349,848.40 is: 75,524,772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,598,475.60 : 123,897,713.40 = 50,349,848.40 : x
  2. Step 2: Convert to fraction form
    82,598,475.60/123,897,713.40 = 50,349,848.40/x
  3. Step 3: Cross multiply
    82,598,475.60x = 123,897,713.40 × 50,349,848.40
  4. Step 4: Simplify right side
    82,598,475.60x = 6,238,231,086,796,649
  5. Step 5: Solve for x
    x = 6,238,231,086,796,649/82,598,475.60
  6. Step 6: Final answer
    x = 75,524,772.60

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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.