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Finding the Fourth Proportional to 202,129,434.40, 303,194,151.60 and 200,428,823.20

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Solution

The fourth proportional to 202,129,434.40, 303,194,151.60 and 200,428,823.20 is: 300,643,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,129,434.40 : 303,194,151.60 = 200,428,823.20 : x
  2. Step 2: Convert to fraction form
    202,129,434.40/303,194,151.60 = 200,428,823.20/x
  3. Step 3: Cross multiply
    202,129,434.40x = 303,194,151.60 × 200,428,823.20
  4. Step 4: Simplify right side
    202,129,434.40x = 60,768,847,006,310,400
  5. Step 5: Solve for x
    x = 60,768,847,006,310,400/202,129,434.40
  6. Step 6: Final answer
    x = 300,643,234.80

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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.