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Finding the Fourth Proportional to 1,288,001,709.60, 1,932,002,564.40 and 1,288,001,709.60

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Solution

The fourth proportional to 1,288,001,709.60, 1,932,002,564.40 and 1,288,001,709.60 is: 1,932,002,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,001,709.60 : 1,932,002,564.40 = 1,288,001,709.60 : x
  2. Step 2: Convert to fraction form
    1,288,001,709.60/1,932,002,564.40 = 1,288,001,709.60/x
  3. Step 3: Cross multiply
    1,288,001,709.60x = 1,932,002,564.40 × 1,288,001,709.60
  4. Step 4: Simplify right side
    1,288,001,709.60x = 2,488,422,605,898,784,256
  5. Step 5: Solve for x
    x = 2,488,422,605,898,784,256/1,288,001,709.60
  6. Step 6: Final answer
    x = 1,932,002,564.40

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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.