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Finding the Fourth Proportional to 188,019,767.70, 282,029,651.55 and 188,019,767.70

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Solution

The fourth proportional to 188,019,767.70, 282,029,651.55 and 188,019,767.70 is: 282,029,651.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,019,767.70 : 282,029,651.55 = 188,019,767.70 : x
  2. Step 2: Convert to fraction form
    188,019,767.70/282,029,651.55 = 188,019,767.70/x
  3. Step 3: Cross multiply
    188,019,767.70x = 282,029,651.55 × 188,019,767.70
  4. Step 4: Simplify right side
    188,019,767.70x = 53,027,149,568,942,944
  5. Step 5: Solve for x
    x = 53,027,149,568,942,944/188,019,767.70
  6. Step 6: Final answer
    x = 282,029,651.55

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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.