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Finding the Fourth Proportional to 8,022,178,642.20, 12,033,267,963.30 and 8,022,178,642.20

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Solution

The fourth proportional to 8,022,178,642.20, 12,033,267,963.30 and 8,022,178,642.20 is: 12,033,267,963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022,178,642.20 : 12,033,267,963.30 = 8,022,178,642.20 : x
  2. Step 2: Convert to fraction form
    8,022,178,642.20/12,033,267,963.30 = 8,022,178,642.20/x
  3. Step 3: Cross multiply
    8,022,178,642.20x = 12,033,267,963.30 × 8,022,178,642.20
  4. Step 4: Simplify right side
    8,022,178,642.20x = 96,533,025,251,054,747,648
  5. Step 5: Solve for x
    x = 96,533,025,251,054,747,648/8,022,178,642.20
  6. Step 6: Final answer
    x = 12,033,267,963.30

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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.