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Finding the Fourth Proportional to 512,463,414.80, 768,620,472.60 and 148,919,862.80

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Solution

The fourth proportional to 512,463,414.80, 768,620,472.60 and 148,919,862.80 is: 223,358,101.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,463,414.80 : 768,620,472.60 = 148,919,862.80 : x
  2. Step 2: Convert to fraction form
    512,463,414.80/768,620,472.60 = 148,919,862.80/x
  3. Step 3: Cross multiply
    512,463,414.80x = 768,620,472.60 × 148,919,862.80
  4. Step 4: Simplify right side
    512,463,414.80x = 114,462,855,324,863,168
  5. Step 5: Solve for x
    x = 114,462,855,324,863,168/512,463,414.80
  6. Step 6: Final answer
    x = 223,358,101.32

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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.