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Finding the Fourth Proportional to 906,514,314.30, 1,361,787,010.65 and 872,250,147.90

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Solution

The fourth proportional to 906,514,314.30, 1,361,787,010.65 and 872,250,147.90 is: 1,310,314,578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,514,314.30 : 1,361,787,010.65 = 872,250,147.90 : x
  2. Step 2: Convert to fraction form
    906,514,314.30/1,361,787,010.65 = 872,250,147.90/x
  3. Step 3: Cross multiply
    906,514,314.30x = 1,361,787,010.65 × 872,250,147.90
  4. Step 4: Simplify right side
    906,514,314.30x = 1,187,818,921,447,761,408
  5. Step 5: Solve for x
    x = 1,187,818,921,447,761,408/906,514,314.30
  6. Step 6: Final answer
    x = 1,310,314,578.28

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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.