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Finding the Fourth Proportional to 488,722,512.71, 733,083,769.08 and 488,722,512.71

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Solution

The fourth proportional to 488,722,512.71, 733,083,769.08 and 488,722,512.71 is: 733,083,769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,722,512.71 : 733,083,769.08 = 488,722,512.71 : x
  2. Step 2: Convert to fraction form
    488,722,512.71/733,083,769.08 = 488,722,512.71/x
  3. Step 3: Cross multiply
    488,722,512.71x = 733,083,769.08 × 488,722,512.71
  4. Step 4: Simplify right side
    488,722,512.71x = 358,274,541,653,527,744
  5. Step 5: Solve for x
    x = 358,274,541,653,527,744/488,722,512.71
  6. Step 6: Final answer
    x = 733,083,769.08

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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.