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Finding the Fourth Proportional to 415,888,198.91, 573,923,609.46 and 227,713,073.82

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Solution

The fourth proportional to 415,888,198.91, 573,923,609.46 and 227,713,073.82 is: 314,242,889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,888,198.91 : 573,923,609.46 = 227,713,073.82 : x
  2. Step 2: Convert to fraction form
    415,888,198.91/573,923,609.46 = 227,713,073.82/x
  3. Step 3: Cross multiply
    415,888,198.91x = 573,923,609.46 × 227,713,073.82
  4. Step 4: Simplify right side
    415,888,198.91x = 130,689,909,245,847,888
  5. Step 5: Solve for x
    x = 130,689,909,245,847,888/415,888,198.91
  6. Step 6: Final answer
    x = 314,242,889.29

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