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Finding the Fourth Proportional to 11,813,344,080.80, 17,720,016,121.20 and 11,813,344,080.80

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Solution

The fourth proportional to 11,813,344,080.80, 17,720,016,121.20 and 11,813,344,080.80 is: 17,720,016,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813,344,080.80 : 17,720,016,121.20 = 11,813,344,080.80 : x
  2. Step 2: Convert to fraction form
    11,813,344,080.80/17,720,016,121.20 = 11,813,344,080.80/x
  3. Step 3: Cross multiply
    11,813,344,080.80x = 17,720,016,121.20 × 11,813,344,080.80
  4. Step 4: Simplify right side
    11,813,344,080.80x = 209,332,647,557,058,592,768
  5. Step 5: Solve for x
    x = 209,332,647,557,058,592,768/11,813,344,080.80
  6. Step 6: Final answer
    x = 17,720,016,121.20

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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.