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Finding the Fourth Proportional to 297,589,615.60, 446,392,798.44 and 82,178,863.60

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Solution

The fourth proportional to 297,589,615.60, 446,392,798.44 and 82,178,863.60 is: 123,270,608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,589,615.60 : 446,392,798.44 = 82,178,863.60 : x
  2. Step 2: Convert to fraction form
    297,589,615.60/446,392,798.44 = 82,178,863.60/x
  3. Step 3: Cross multiply
    297,589,615.60x = 446,392,798.44 × 82,178,863.60
  4. Step 4: Simplify right side
    297,589,615.60x = 36,684,052,895,023,048
  5. Step 5: Solve for x
    x = 36,684,052,895,023,048/297,589,615.60
  6. Step 6: Final answer
    x = 123,270,608.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.