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Finding the Fourth Proportional to 10,471,433,767.20, 15,707,150,650.80 and 10,471,433,767.20

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Solution

The fourth proportional to 10,471,433,767.20, 15,707,150,650.80 and 10,471,433,767.20 is: 15,707,150,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471,433,767.20 : 15,707,150,650.80 = 10,471,433,767.20 : x
  2. Step 2: Convert to fraction form
    10,471,433,767.20/15,707,150,650.80 = 10,471,433,767.20/x
  3. Step 3: Cross multiply
    10,471,433,767.20x = 15,707,150,650.80 × 10,471,433,767.20
  4. Step 4: Simplify right side
    10,471,433,767.20x = 164,476,387,711,284,576,256
  5. Step 5: Solve for x
    x = 164,476,387,711,284,576,256/10,471,433,767.20
  6. Step 6: Final answer
    x = 15,707,150,650.80

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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.