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Finding the Fourth Proportional to 284,653,844.80, 426,978,667.68 and 80,177,392.96

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Solution

The fourth proportional to 284,653,844.80, 426,978,667.68 and 80,177,392.96 is: 120,265,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,653,844.80 : 426,978,667.68 = 80,177,392.96 : x
  2. Step 2: Convert to fraction form
    284,653,844.80/426,978,667.68 = 80,177,392.96/x
  3. Step 3: Cross multiply
    284,653,844.80x = 426,978,667.68 × 80,177,392.96
  4. Step 4: Simplify right side
    284,653,844.80x = 34,234,036,424,116,608
  5. Step 5: Solve for x
    x = 34,234,036,424,116,608/284,653,844.80
  6. Step 6: Final answer
    x = 120,265,498.08

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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.