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Finding the Fourth Proportional to 299,382,829.20, 449,074,243.80 and 169,940,422.80

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Solution

The fourth proportional to 299,382,829.20, 449,074,243.80 and 169,940,422.80 is: 254,910,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,382,829.20 : 449,074,243.80 = 169,940,422.80 : x
  2. Step 2: Convert to fraction form
    299,382,829.20/449,074,243.80 = 169,940,422.80/x
  3. Step 3: Cross multiply
    299,382,829.20x = 449,074,243.80 × 169,940,422.80
  4. Step 4: Simplify right side
    299,382,829.20x = 76,315,866,859,962,288
  5. Step 5: Solve for x
    x = 76,315,866,859,962,288/299,382,829.20
  6. Step 6: Final answer
    x = 254,910,634.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.