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Finding the Fourth Proportional to 746,100,400.80, 1,116,998,265.15 and 746,100,400.80

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Solution

The fourth proportional to 746,100,400.80, 1,116,998,265.15 and 746,100,400.80 is: 1,116,998,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,100,400.80 : 1,116,998,265.15 = 746,100,400.80 : x
  2. Step 2: Convert to fraction form
    746,100,400.80/1,116,998,265.15 = 746,100,400.80/x
  3. Step 3: Cross multiply
    746,100,400.80x = 1,116,998,265.15 × 746,100,400.80
  4. Step 4: Simplify right side
    746,100,400.80x = 833,392,853,321,319,680
  5. Step 5: Solve for x
    x = 833,392,853,321,319,680/746,100,400.80
  6. Step 6: Final answer
    x = 1,116,998,265.15

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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.