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Finding the Fourth Proportional to 787,317,811.20, 1,180,976,716.80 and 787,317,811.20

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Solution

The fourth proportional to 787,317,811.20, 1,180,976,716.80 and 787,317,811.20 is: 1,180,976,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,317,811.20 : 1,180,976,716.80 = 787,317,811.20 : x
  2. Step 2: Convert to fraction form
    787,317,811.20/1,180,976,716.80 = 787,317,811.20/x
  3. Step 3: Cross multiply
    787,317,811.20x = 1,180,976,716.80 × 787,317,811.20
  4. Step 4: Simplify right side
    787,317,811.20x = 929,804,003,749,138,304
  5. Step 5: Solve for x
    x = 929,804,003,749,138,304/787,317,811.20
  6. Step 6: Final answer
    x = 1,180,976,716.80

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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.