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Finding the Fourth Proportional to 766,736,464.80, 1,150,104,697.20 and 766,736,464.80

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Solution

The fourth proportional to 766,736,464.80, 1,150,104,697.20 and 766,736,464.80 is: 1,150,104,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,736,464.80 : 1,150,104,697.20 = 766,736,464.80 : x
  2. Step 2: Convert to fraction form
    766,736,464.80/1,150,104,697.20 = 766,736,464.80/x
  3. Step 3: Cross multiply
    766,736,464.80x = 1,150,104,697.20 × 766,736,464.80
  4. Step 4: Simplify right side
    766,736,464.80x = 881,827,209,681,002,496
  5. Step 5: Solve for x
    x = 881,827,209,681,002,496/766,736,464.80
  6. Step 6: Final answer
    x = 1,150,104,697.20

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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.