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Finding the Fourth Proportional to 295,244,255.20, 442,866,382.80 and 295,244,255.20

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Solution

The fourth proportional to 295,244,255.20, 442,866,382.80 and 295,244,255.20 is: 442,866,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,244,255.20 : 442,866,382.80 = 295,244,255.20 : x
  2. Step 2: Convert to fraction form
    295,244,255.20/442,866,382.80 = 295,244,255.20/x
  3. Step 3: Cross multiply
    295,244,255.20x = 442,866,382.80 × 295,244,255.20
  4. Step 4: Simplify right side
    295,244,255.20x = 130,753,755,342,904,096
  5. Step 5: Solve for x
    x = 130,753,755,342,904,096/295,244,255.20
  6. Step 6: Final answer
    x = 442,866,382.80

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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.