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Finding the Fourth Proportional to 322,486,203.80, 483,729,305.70 and 176,863,496.60

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Solution

The fourth proportional to 322,486,203.80, 483,729,305.70 and 176,863,496.60 is: 265,295,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,486,203.80 : 483,729,305.70 = 176,863,496.60 : x
  2. Step 2: Convert to fraction form
    322,486,203.80/483,729,305.70 = 176,863,496.60/x
  3. Step 3: Cross multiply
    322,486,203.80x = 483,729,305.70 × 176,863,496.60
  4. Step 4: Simplify right side
    322,486,203.80x = 85,554,056,413,992,304
  5. Step 5: Solve for x
    x = 85,554,056,413,992,304/322,486,203.80
  6. Step 6: Final answer
    x = 265,295,244.90

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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.