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Finding the Fourth Proportional to 214,668,335.60, 322,002,503.40 and 200,213,140.40

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Solution

The fourth proportional to 214,668,335.60, 322,002,503.40 and 200,213,140.40 is: 300,319,710.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,668,335.60 : 322,002,503.40 = 200,213,140.40 : x
  2. Step 2: Convert to fraction form
    214,668,335.60/322,002,503.40 = 200,213,140.40/x
  3. Step 3: Cross multiply
    214,668,335.60x = 322,002,503.40 × 200,213,140.40
  4. Step 4: Simplify right side
    214,668,335.60x = 64,469,132,422,375,672
  5. Step 5: Solve for x
    x = 64,469,132,422,375,672/214,668,335.60
  6. Step 6: Final answer
    x = 300,319,710.60

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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.