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Finding the Fourth Proportional to 186,867,471.15, 280,301,206.73 and 186,867,471.15

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Solution

The fourth proportional to 186,867,471.15, 280,301,206.73 and 186,867,471.15 is: 280,301,206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,867,471.15 : 280,301,206.73 = 186,867,471.15 : x
  2. Step 2: Convert to fraction form
    186,867,471.15/280,301,206.73 = 186,867,471.15/x
  3. Step 3: Cross multiply
    186,867,471.15x = 280,301,206.73 × 186,867,471.15
  4. Step 4: Simplify right side
    186,867,471.15x = 52,379,177,660,994,128
  5. Step 5: Solve for x
    x = 52,379,177,660,994,128/186,867,471.15
  6. Step 6: Final answer
    x = 280,301,206.73

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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.