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Finding the Fourth Proportional to 313,375,359.20, 439,178,999.20 and 313,375,359.20

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Solution

The fourth proportional to 313,375,359.20, 439,178,999.20 and 313,375,359.20 is: 439,178,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,375,359.20 : 439,178,999.20 = 313,375,359.20 : x
  2. Step 2: Convert to fraction form
    313,375,359.20/439,178,999.20 = 313,375,359.20/x
  3. Step 3: Cross multiply
    313,375,359.20x = 439,178,999.20 × 313,375,359.20
  4. Step 4: Simplify right side
    313,375,359.20x = 137,627,876,627,396,496
  5. Step 5: Solve for x
    x = 137,627,876,627,396,496/313,375,359.20
  6. Step 6: Final answer
    x = 439,178,999.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.