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Finding the Fourth Proportional to 11,662,016,101.90, 17,493,024,152.86 and 11,662,016,101.90

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Solution

The fourth proportional to 11,662,016,101.90, 17,493,024,152.86 and 11,662,016,101.90 is: 17,493,024,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662,016,101.90 : 17,493,024,152.86 = 11,662,016,101.90 : x
  2. Step 2: Convert to fraction form
    11,662,016,101.90/17,493,024,152.86 = 11,662,016,101.90/x
  3. Step 3: Cross multiply
    11,662,016,101.90x = 17,493,024,152.86 × 11,662,016,101.90
  4. Step 4: Simplify right side
    11,662,016,101.90x = 204,003,929,341,578,936,320
  5. Step 5: Solve for x
    x = 204,003,929,341,578,936,320/11,662,016,101.90
  6. Step 6: Final answer
    x = 17,493,024,152.86

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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.