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Finding the Fourth Proportional to 565,627,765.76, 847,891,393.76 and 270,446,177.84

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Solution

The fourth proportional to 565,627,765.76, 847,891,393.76 and 270,446,177.84 is: 405,406,170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,627,765.76 : 847,891,393.76 = 270,446,177.84 : x
  2. Step 2: Convert to fraction form
    565,627,765.76/847,891,393.76 = 270,446,177.84/x
  3. Step 3: Cross multiply
    565,627,765.76x = 847,891,393.76 × 270,446,177.84
  4. Step 4: Simplify right side
    565,627,765.76x = 229,308,986,665,822,400
  5. Step 5: Solve for x
    x = 229,308,986,665,822,400/565,627,765.76
  6. Step 6: Final answer
    x = 405,406,170.89

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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.