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Finding the Fourth Proportional to 569,766,909.80, 855,546,159.90 and 327,902,205.80

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Solution

The fourth proportional to 569,766,909.80, 855,546,159.90 and 327,902,205.80 is: 492,368,840.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,766,909.80 : 855,546,159.90 = 327,902,205.80 : x
  2. Step 2: Convert to fraction form
    569,766,909.80/855,546,159.90 = 327,902,205.80/x
  3. Step 3: Cross multiply
    569,766,909.80x = 855,546,159.90 × 327,902,205.80
  4. Step 4: Simplify right side
    569,766,909.80x = 280,535,472,994,929,504
  5. Step 5: Solve for x
    x = 280,535,472,994,929,504/569,766,909.80
  6. Step 6: Final answer
    x = 492,368,840.96

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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.