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Finding the Fourth Proportional to 91,760,192,920.10, 137,640,289,380.15 and 91,760,192,920.10

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Solution

The fourth proportional to 91,760,192,920.10, 137,640,289,380.15 and 91,760,192,920.10 is: 137,640,289,380.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,760,192,920.10 : 137,640,289,380.15 = 91,760,192,920.10 : x
  2. Step 2: Convert to fraction form
    91,760,192,920.10/137,640,289,380.15 = 91,760,192,920.10/x
  3. Step 3: Cross multiply
    91,760,192,920.10x = 137,640,289,380.15 × 91,760,192,920.10
  4. Step 4: Simplify right side
    91,760,192,920.10x = 12,629,899,507,100,955,967,488
  5. Step 5: Solve for x
    x = 12,629,899,507,100,955,967,488/91,760,192,920.10
  6. Step 6: Final answer
    x = 137,640,289,380.15

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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.