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Finding the Fourth Proportional to 512,463,431.80, 768,620,498.10 and 148,919,879.80

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Solution

The fourth proportional to 512,463,431.80, 768,620,498.10 and 148,919,879.80 is: 223,358,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,463,431.80 : 768,620,498.10 = 148,919,879.80 : x
  2. Step 2: Convert to fraction form
    512,463,431.80/768,620,498.10 = 148,919,879.80/x
  3. Step 3: Cross multiply
    512,463,431.80x = 768,620,498.10 × 148,919,879.80
  4. Step 4: Simplify right side
    512,463,431.80x = 114,462,872,188,868,144
  5. Step 5: Solve for x
    x = 114,462,872,188,868,144/512,463,431.80
  6. Step 6: Final answer
    x = 223,358,126.82

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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.