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Finding the Fourth Proportional to 180,469,995.84, 270,672,994.31 and 82,078,656.21

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Solution

The fourth proportional to 180,469,995.84, 270,672,994.31 and 82,078,656.21 is: 123,103,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,469,995.84 : 270,672,994.31 = 82,078,656.21 : x
  2. Step 2: Convert to fraction form
    180,469,995.84/270,672,994.31 = 82,078,656.21/x
  3. Step 3: Cross multiply
    180,469,995.84x = 270,672,994.31 × 82,078,656.21
  4. Step 4: Simplify right side
    180,469,995.84x = 22,216,475,644,891,380
  5. Step 5: Solve for x
    x = 22,216,475,644,891,380/180,469,995.84
  6. Step 6: Final answer
    x = 123,103,430.80

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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.