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Finding the Fourth Proportional to 266,976,009.60, 400,464,014.40 and 189,881,635.20

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Solution

The fourth proportional to 266,976,009.60, 400,464,014.40 and 189,881,635.20 is: 284,822,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,976,009.60 : 400,464,014.40 = 189,881,635.20 : x
  2. Step 2: Convert to fraction form
    266,976,009.60/400,464,014.40 = 189,881,635.20/x
  3. Step 3: Cross multiply
    266,976,009.60x = 400,464,014.40 × 189,881,635.20
  4. Step 4: Simplify right side
    266,976,009.60x = 76,040,761,893,028,336
  5. Step 5: Solve for x
    x = 76,040,761,893,028,336/266,976,009.60
  6. Step 6: Final answer
    x = 284,822,452.80

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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.