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Finding the Fourth Proportional to 433,584,006.80, 650,160,809.40 and 157,224,189.20

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Solution

The fourth proportional to 433,584,006.80, 650,160,809.40 and 157,224,189.20 is: 235,758,248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,584,006.80 : 650,160,809.40 = 157,224,189.20 : x
  2. Step 2: Convert to fraction form
    433,584,006.80/650,160,809.40 = 157,224,189.20/x
  3. Step 3: Cross multiply
    433,584,006.80x = 650,160,809.40 × 157,224,189.20
  4. Step 4: Simplify right side
    433,584,006.80x = 102,221,006,107,530,720
  5. Step 5: Solve for x
    x = 102,221,006,107,530,720/433,584,006.80
  6. Step 6: Final answer
    x = 235,758,248.70

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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.