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Finding the Fourth Proportional to 314,571,861.20, 471,857,791.80 and 192,127,854.80

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Solution

The fourth proportional to 314,571,861.20, 471,857,791.80 and 192,127,854.80 is: 288,191,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,571,861.20 : 471,857,791.80 = 192,127,854.80 : x
  2. Step 2: Convert to fraction form
    314,571,861.20/471,857,791.80 = 192,127,854.80/x
  3. Step 3: Cross multiply
    314,571,861.20x = 471,857,791.80 × 192,127,854.80
  4. Step 4: Simplify right side
    314,571,861.20x = 90,657,025,309,199,040
  5. Step 5: Solve for x
    x = 90,657,025,309,199,040/314,571,861.20
  6. Step 6: Final answer
    x = 288,191,782.20

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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.