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Finding the Fourth Proportional to 256,604,613.80, 384,906,920.70 and 241,488,069.80

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Solution

The fourth proportional to 256,604,613.80, 384,906,920.70 and 241,488,069.80 is: 362,232,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,604,613.80 : 384,906,920.70 = 241,488,069.80 : x
  2. Step 2: Convert to fraction form
    256,604,613.80/384,906,920.70 = 241,488,069.80/x
  3. Step 3: Cross multiply
    256,604,613.80x = 384,906,920.70 × 241,488,069.80
  4. Step 4: Simplify right side
    256,604,613.80x = 92,950,429,332,504,672
  5. Step 5: Solve for x
    x = 92,950,429,332,504,672/256,604,613.80
  6. Step 6: Final answer
    x = 362,232,104.70

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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.