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Finding the Fourth Proportional to 11,961,825,963.60, 17,942,738,945.40 and 11,961,825,963.60

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Solution

The fourth proportional to 11,961,825,963.60, 17,942,738,945.40 and 11,961,825,963.60 is: 17,942,738,945.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961,825,963.60 : 17,942,738,945.40 = 11,961,825,963.60 : x
  2. Step 2: Convert to fraction form
    11,961,825,963.60/17,942,738,945.40 = 11,961,825,963.60/x
  3. Step 3: Cross multiply
    11,961,825,963.60x = 17,942,738,945.40 × 11,961,825,963.60
  4. Step 4: Simplify right side
    11,961,825,963.60x = 214,627,920,575,182,635,008
  5. Step 5: Solve for x
    x = 214,627,920,575,182,635,008/11,961,825,963.60
  6. Step 6: Final answer
    x = 17,942,738,945.40

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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.