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Finding the Fourth Proportional to 283,763,266.80, 425,644,900.20 and 277,385,974.80

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Solution

The fourth proportional to 283,763,266.80, 425,644,900.20 and 277,385,974.80 is: 416,078,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,763,266.80 : 425,644,900.20 = 277,385,974.80 : x
  2. Step 2: Convert to fraction form
    283,763,266.80/425,644,900.20 = 277,385,974.80/x
  3. Step 3: Cross multiply
    283,763,266.80x = 425,644,900.20 × 277,385,974.80
  4. Step 4: Simplify right side
    283,763,266.80x = 118,067,925,560,625,712
  5. Step 5: Solve for x
    x = 118,067,925,560,625,712/283,763,266.80
  6. Step 6: Final answer
    x = 416,078,962.20

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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.