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Finding the Fourth Proportional to 235,692,453.60, 353,538,680.40 and 133,655,781.60

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Solution

The fourth proportional to 235,692,453.60, 353,538,680.40 and 133,655,781.60 is: 200,483,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,692,453.60 : 353,538,680.40 = 133,655,781.60 : x
  2. Step 2: Convert to fraction form
    235,692,453.60/353,538,680.40 = 133,655,781.60/x
  3. Step 3: Cross multiply
    235,692,453.60x = 353,538,680.40 × 133,655,781.60
  4. Step 4: Simplify right side
    235,692,453.60x = 47,252,488,654,694,592
  5. Step 5: Solve for x
    x = 47,252,488,654,694,592/235,692,453.60
  6. Step 6: Final answer
    x = 200,483,672.40

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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.