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Finding the Fourth Proportional to 768,054,414.42, 1,059,801,073.14 and 466,482,793.80

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Solution

The fourth proportional to 768,054,414.42, 1,059,801,073.14 and 466,482,793.80 is: 643,677,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,054,414.42 : 1,059,801,073.14 = 466,482,793.80 : x
  2. Step 2: Convert to fraction form
    768,054,414.42/1,059,801,073.14 = 466,482,793.80/x
  3. Step 3: Cross multiply
    768,054,414.42x = 1,059,801,073.14 × 466,482,793.80
  4. Step 4: Simplify right side
    768,054,414.42x = 494,378,965,470,585,344
  5. Step 5: Solve for x
    x = 494,378,965,470,585,344/768,054,414.42
  6. Step 6: Final answer
    x = 643,677,005.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.