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Finding the Fourth Proportional to 266,936,777.60, 400,405,166.40 and 85,202,326.40

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Solution

The fourth proportional to 266,936,777.60, 400,405,166.40 and 85,202,326.40 is: 127,803,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,936,777.60 : 400,405,166.40 = 85,202,326.40 : x
  2. Step 2: Convert to fraction form
    266,936,777.60/400,405,166.40 = 85,202,326.40/x
  3. Step 3: Cross multiply
    266,936,777.60x = 400,405,166.40 × 85,202,326.40
  4. Step 4: Simplify right side
    266,936,777.60x = 34,115,451,679,859,112
  5. Step 5: Solve for x
    x = 34,115,451,679,859,112/266,936,777.60
  6. Step 6: Final answer
    x = 127,803,489.60

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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.