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Finding the Fourth Proportional to 188,491,284.80, 282,705,434.40 and 52,190,446.40

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Solution

The fourth proportional to 188,491,284.80, 282,705,434.40 and 52,190,446.40 is: 78,276,949.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,491,284.80 : 282,705,434.40 = 52,190,446.40 : x
  2. Step 2: Convert to fraction form
    188,491,284.80/282,705,434.40 = 52,190,446.40/x
  3. Step 3: Cross multiply
    188,491,284.80x = 282,705,434.40 × 52,190,446.40
  4. Step 4: Simplify right side
    188,491,284.80x = 14,754,522,821,041,914
  5. Step 5: Solve for x
    x = 14,754,522,821,041,914/188,491,284.80
  6. Step 6: Final answer
    x = 78,276,949.71

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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.