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Finding the Fourth Proportional to 399,181,808.80, 598,772,713.20 and 194,840,970.40

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Solution

The fourth proportional to 399,181,808.80, 598,772,713.20 and 194,840,970.40 is: 292,261,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,181,808.80 : 598,772,713.20 = 194,840,970.40 : x
  2. Step 2: Convert to fraction form
    399,181,808.80/598,772,713.20 = 194,840,970.40/x
  3. Step 3: Cross multiply
    399,181,808.80x = 598,772,713.20 × 194,840,970.40
  4. Step 4: Simplify right side
    399,181,808.80x = 116,665,456,488,928,896
  5. Step 5: Solve for x
    x = 116,665,456,488,928,896/399,181,808.80
  6. Step 6: Final answer
    x = 292,261,455.60

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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.