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Finding the Fourth Proportional to 70,945,378.20, 106,418,067.30 and 70,945,378.20

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Solution

The fourth proportional to 70,945,378.20, 106,418,067.30 and 70,945,378.20 is: 106,418,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,945,378.20 : 106,418,067.30 = 70,945,378.20 : x
  2. Step 2: Convert to fraction form
    70,945,378.20/106,418,067.30 = 70,945,378.20/x
  3. Step 3: Cross multiply
    70,945,378.20x = 106,418,067.30 × 70,945,378.20
  4. Step 4: Simplify right side
    70,945,378.20x = 7,549,870,031,911,553
  5. Step 5: Solve for x
    x = 7,549,870,031,911,553/70,945,378.20
  6. Step 6: Final answer
    x = 106,418,067.30

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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.