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Finding the Fourth Proportional to 82,787,108,758.80, 124,180,663,138.20 and 82,787,108,758.80

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Solution

The fourth proportional to 82,787,108,758.80, 124,180,663,138.20 and 82,787,108,758.80 is: 124,180,663,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,787,108,758.80 : 124,180,663,138.20 = 82,787,108,758.80 : x
  2. Step 2: Convert to fraction form
    82,787,108,758.80/124,180,663,138.20 = 82,787,108,758.80/x
  3. Step 3: Cross multiply
    82,787,108,758.80x = 124,180,663,138.20 × 82,787,108,758.80
  4. Step 4: Simplify right side
    82,787,108,758.80x = 10,280,558,064,962,069,594,112
  5. Step 5: Solve for x
    x = 10,280,558,064,962,069,594,112/82,787,108,758.80
  6. Step 6: Final answer
    x = 124,180,663,138.20

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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.