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Finding the Fourth Proportional to 363,836,409.40, 545,754,614.10 and 200,010,863.80

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Solution

The fourth proportional to 363,836,409.40, 545,754,614.10 and 200,010,863.80 is: 300,016,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,836,409.40 : 545,754,614.10 = 200,010,863.80 : x
  2. Step 2: Convert to fraction form
    363,836,409.40/545,754,614.10 = 200,010,863.80/x
  3. Step 3: Cross multiply
    363,836,409.40x = 545,754,614.10 × 200,010,863.80
  4. Step 4: Simplify right side
    363,836,409.40x = 109,156,851,788,976,672
  5. Step 5: Solve for x
    x = 109,156,851,788,976,672/363,836,409.40
  6. Step 6: Final answer
    x = 300,016,295.70

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Why These Related Problems?

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