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Finding the Fourth Proportional to 284,471,469.60, 426,707,204.40 and 196,795,514.40

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Solution

The fourth proportional to 284,471,469.60, 426,707,204.40 and 196,795,514.40 is: 295,193,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,471,469.60 : 426,707,204.40 = 196,795,514.40 : x
  2. Step 2: Convert to fraction form
    284,471,469.60/426,707,204.40 = 196,795,514.40/x
  3. Step 3: Cross multiply
    284,471,469.60x = 426,707,204.40 × 196,795,514.40
  4. Step 4: Simplify right side
    284,471,469.60x = 83,974,063,788,083,936
  5. Step 5: Solve for x
    x = 83,974,063,788,083,936/284,471,469.60
  6. Step 6: Final answer
    x = 295,193,271.60

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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.