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Finding the Fourth Proportional to 299,560,053.60, 449,340,080.40 and 146,304,424.80

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Solution

The fourth proportional to 299,560,053.60, 449,340,080.40 and 146,304,424.80 is: 219,456,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,560,053.60 : 449,340,080.40 = 146,304,424.80 : x
  2. Step 2: Convert to fraction form
    299,560,053.60/449,340,080.40 = 146,304,424.80/x
  3. Step 3: Cross multiply
    299,560,053.60x = 449,340,080.40 × 146,304,424.80
  4. Step 4: Simplify right side
    299,560,053.60x = 65,740,442,002,507,752
  5. Step 5: Solve for x
    x = 65,740,442,002,507,752/299,560,053.60
  6. Step 6: Final answer
    x = 219,456,637.20

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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.