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Finding the Fourth Proportional to 427,691,059.72, 641,806,470.84 and 182,047,299.90

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Solution

The fourth proportional to 427,691,059.72, 641,806,470.84 and 182,047,299.90 is: 273,185,825.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,691,059.72 : 641,806,470.84 = 182,047,299.90 : x
  2. Step 2: Convert to fraction form
    427,691,059.72/641,806,470.84 = 182,047,299.90/x
  3. Step 3: Cross multiply
    427,691,059.72x = 641,806,470.84 × 182,047,299.90
  4. Step 4: Simplify right side
    427,691,059.72x = 116,839,135,074,770,096
  5. Step 5: Solve for x
    x = 116,839,135,074,770,096/427,691,059.72
  6. Step 6: Final answer
    x = 273,185,825.19

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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.