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Finding the Fourth Proportional to 217,215,470.40, 325,823,205.60 and 217,215,470.40

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Solution

The fourth proportional to 217,215,470.40, 325,823,205.60 and 217,215,470.40 is: 325,823,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,215,470.40 : 325,823,205.60 = 217,215,470.40 : x
  2. Step 2: Convert to fraction form
    217,215,470.40/325,823,205.60 = 217,215,470.40/x
  3. Step 3: Cross multiply
    217,215,470.40x = 325,823,205.60 × 217,215,470.40
  4. Step 4: Simplify right side
    217,215,470.40x = 70,773,840,871,639,920
  5. Step 5: Solve for x
    x = 70,773,840,871,639,920/217,215,470.40
  6. Step 6: Final answer
    x = 325,823,205.60

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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.