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Finding the Fourth Proportional to 256,604,612.80, 384,906,919.20 and 241,488,068.80

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Solution

The fourth proportional to 256,604,612.80, 384,906,919.20 and 241,488,068.80 is: 362,232,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,604,612.80 : 384,906,919.20 = 241,488,068.80 : x
  2. Step 2: Convert to fraction form
    256,604,612.80/384,906,919.20 = 241,488,068.80/x
  3. Step 3: Cross multiply
    256,604,612.80x = 384,906,919.20 × 241,488,068.80
  4. Step 4: Simplify right side
    256,604,612.80x = 92,950,428,585,365,648
  5. Step 5: Solve for x
    x = 92,950,428,585,365,648/256,604,612.80
  6. Step 6: Final answer
    x = 362,232,103.20

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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.