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Finding the Fourth Proportional to 766,933,603.20, 1,150,400,404.80 and 766,933,603.20

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Solution

The fourth proportional to 766,933,603.20, 1,150,400,404.80 and 766,933,603.20 is: 1,150,400,404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,933,603.20 : 1,150,400,404.80 = 766,933,603.20 : x
  2. Step 2: Convert to fraction form
    766,933,603.20/1,150,400,404.80 = 766,933,603.20/x
  3. Step 3: Cross multiply
    766,933,603.20x = 1,150,400,404.80 × 766,933,603.20
  4. Step 4: Simplify right side
    766,933,603.20x = 882,280,727,576,002,560
  5. Step 5: Solve for x
    x = 882,280,727,576,002,560/766,933,603.20
  6. Step 6: Final answer
    x = 1,150,400,404.80

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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.