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Finding the Fourth Proportional to 33,930,102.40, 47,401,366.40 and 33,930,102.40

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Solution

The fourth proportional to 33,930,102.40, 47,401,366.40 and 33,930,102.40 is: 47,401,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,930,102.40 : 47,401,366.40 = 33,930,102.40 : x
  2. Step 2: Convert to fraction form
    33,930,102.40/47,401,366.40 = 33,930,102.40/x
  3. Step 3: Cross multiply
    33,930,102.40x = 47,401,366.40 × 33,930,102.40
  4. Step 4: Simplify right side
    33,930,102.40x = 1,608,333,215,851,919.25
  5. Step 5: Solve for x
    x = 1,608,333,215,851,919.25/33,930,102.40
  6. Step 6: Final answer
    x = 47,401,366.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.