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Finding the Fourth Proportional to 664,959,817.60, 997,534,204.80 and 204,850,009.60

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Solution

The fourth proportional to 664,959,817.60, 997,534,204.80 and 204,850,009.60 is: 307,304,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,959,817.60 : 997,534,204.80 = 204,850,009.60 : x
  2. Step 2: Convert to fraction form
    664,959,817.60/997,534,204.80 = 204,850,009.60/x
  3. Step 3: Cross multiply
    664,959,817.60x = 997,534,204.80 × 204,850,009.60
  4. Step 4: Simplify right side
    664,959,817.60x = 204,344,891,429,608,352
  5. Step 5: Solve for x
    x = 204,344,891,429,608,352/664,959,817.60
  6. Step 6: Final answer
    x = 307,304,119.77

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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.