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Finding the Fourth Proportional to 186,866,823.15, 280,300,234.73 and 186,866,823.15

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Solution

The fourth proportional to 186,866,823.15, 280,300,234.73 and 186,866,823.15 is: 280,300,234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,866,823.15 : 280,300,234.73 = 186,866,823.15 : x
  2. Step 2: Convert to fraction form
    186,866,823.15/280,300,234.73 = 186,866,823.15/x
  3. Step 3: Cross multiply
    186,866,823.15x = 280,300,234.73 × 186,866,823.15
  4. Step 4: Simplify right side
    186,866,823.15x = 52,378,814,391,260,072
  5. Step 5: Solve for x
    x = 52,378,814,391,260,072/186,866,823.15
  6. Step 6: Final answer
    x = 280,300,234.73

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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.