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Finding the Fourth Proportional to 532,340,843.17, 797,797,497.82 and 414,308,128.09

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Solution

The fourth proportional to 532,340,843.17, 797,797,497.82 and 414,308,128.09 is: 620,906,684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,340,843.17 : 797,797,497.82 = 414,308,128.09 : x
  2. Step 2: Convert to fraction form
    532,340,843.17/797,797,497.82 = 414,308,128.09/x
  3. Step 3: Cross multiply
    532,340,843.17x = 797,797,497.82 × 414,308,128.09
  4. Step 4: Simplify right side
    532,340,843.17x = 330,533,987,916,690,048
  5. Step 5: Solve for x
    x = 330,533,987,916,690,048/532,340,843.17
  6. Step 6: Final answer
    x = 620,906,684.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.