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Finding the Fourth Proportional to 287,352,732,843.90, 431,029,099,265.85 and 287,352,732,843.90

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Solution

The fourth proportional to 287,352,732,843.90, 431,029,099,265.85 and 287,352,732,843.90 is: 431,029,099,265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,352,732,843.90 : 431,029,099,265.85 = 287,352,732,843.90 : x
  2. Step 2: Convert to fraction form
    287,352,732,843.90/431,029,099,265.85 = 287,352,732,843.90/x
  3. Step 3: Cross multiply
    287,352,732,843.90x = 431,029,099,265.85 × 287,352,732,843.90
  4. Step 4: Simplify right side
    287,352,732,843.90x = 123,857,389,609,286,656,589,824
  5. Step 5: Solve for x
    x = 123,857,389,609,286,656,589,824/287,352,732,843.90
  6. Step 6: Final answer
    x = 431,029,099,265.85

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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.