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Finding the Fourth Proportional to 230,290,233.60, 344,931,465.60 and 200,057,145.60

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Solution

The fourth proportional to 230,290,233.60, 344,931,465.60 and 200,057,145.60 is: 299,647,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,290,233.60 : 344,931,465.60 = 200,057,145.60 : x
  2. Step 2: Convert to fraction form
    230,290,233.60/344,931,465.60 = 200,057,145.60/x
  3. Step 3: Cross multiply
    230,290,233.60x = 344,931,465.60 × 200,057,145.60
  4. Step 4: Simplify right side
    230,290,233.60x = 69,006,004,435,560,592
  5. Step 5: Solve for x
    x = 69,006,004,435,560,592/230,290,233.60
  6. Step 6: Final answer
    x = 299,647,984.88

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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.