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Finding the Fourth Proportional to 383,652,006.60, 575,561,990.70 and 189,656,358.60

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Solution

The fourth proportional to 383,652,006.60, 575,561,990.70 and 189,656,358.60 is: 284,526,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,652,006.60 : 575,561,990.70 = 189,656,358.60 : x
  2. Step 2: Convert to fraction form
    383,652,006.60/575,561,990.70 = 189,656,358.60/x
  3. Step 3: Cross multiply
    383,652,006.60x = 575,561,990.70 × 189,656,358.60
  4. Step 4: Simplify right side
    383,652,006.60x = 109,158,991,304,729,072
  5. Step 5: Solve for x
    x = 109,158,991,304,729,072/383,652,006.60
  6. Step 6: Final answer
    x = 284,526,053.37

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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.