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Finding the Fourth Proportional to 264,203,999.80, 396,305,999.70 and 196,179,551.80

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Solution

The fourth proportional to 264,203,999.80, 396,305,999.70 and 196,179,551.80 is: 294,269,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,203,999.80 : 396,305,999.70 = 196,179,551.80 : x
  2. Step 2: Convert to fraction form
    264,203,999.80/396,305,999.70 = 196,179,551.80/x
  3. Step 3: Cross multiply
    264,203,999.80x = 396,305,999.70 × 196,179,551.80
  4. Step 4: Simplify right side
    264,203,999.80x = 77,747,133,396,796,944
  5. Step 5: Solve for x
    x = 77,747,133,396,796,944/264,203,999.80
  6. Step 6: Final answer
    x = 294,269,327.70

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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.