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Finding the Fourth Proportional to 1,166,269,067.20, 1,749,403,600.80 and 1,166,269,067.20

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Solution

The fourth proportional to 1,166,269,067.20, 1,749,403,600.80 and 1,166,269,067.20 is: 1,749,403,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,269,067.20 : 1,749,403,600.80 = 1,166,269,067.20 : x
  2. Step 2: Convert to fraction form
    1,166,269,067.20/1,749,403,600.80 = 1,166,269,067.20/x
  3. Step 3: Cross multiply
    1,166,269,067.20x = 1,749,403,600.80 × 1,166,269,067.20
  4. Step 4: Simplify right side
    1,166,269,067.20x = 2,040,275,305,661,337,088
  5. Step 5: Solve for x
    x = 2,040,275,305,661,337,088/1,166,269,067.20
  6. Step 6: Final answer
    x = 1,749,403,600.80

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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.