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Finding the Fourth Proportional to 218,328,169.40, 327,492,254.10 and 200,471,751.80

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Solution

The fourth proportional to 218,328,169.40, 327,492,254.10 and 200,471,751.80 is: 300,707,627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,328,169.40 : 327,492,254.10 = 200,471,751.80 : x
  2. Step 2: Convert to fraction form
    218,328,169.40/327,492,254.10 = 200,471,751.80/x
  3. Step 3: Cross multiply
    218,328,169.40x = 327,492,254.10 × 200,471,751.80
  4. Step 4: Simplify right side
    218,328,169.40x = 65,652,945,880,357,744
  5. Step 5: Solve for x
    x = 65,652,945,880,357,744/218,328,169.40
  6. Step 6: Final answer
    x = 300,707,627.70

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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.