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Finding the Fourth Proportional to 70,948,824.15, 106,423,236.23 and 70,948,824.15

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Solution

The fourth proportional to 70,948,824.15, 106,423,236.23 and 70,948,824.15 is: 106,423,236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,948,824.15 : 106,423,236.23 = 70,948,824.15 : x
  2. Step 2: Convert to fraction form
    70,948,824.15/106,423,236.23 = 70,948,824.15/x
  3. Step 3: Cross multiply
    70,948,824.15x = 106,423,236.23 × 70,948,824.15
  4. Step 4: Simplify right side
    70,948,824.15x = 7,550,603,472,401,435
  5. Step 5: Solve for x
    x = 7,550,603,472,401,435/70,948,824.15
  6. Step 6: Final answer
    x = 106,423,236.23

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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.