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Finding the Fourth Proportional to 2,329,334,928,000.40, 3,494,002,392,000.50 and 2,329,334,928,000.40

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Solution

The fourth proportional to 2,329,334,928,000.40, 3,494,002,392,000.50 and 2,329,334,928,000.40 is: 3,494,002,392,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329,334,928,000.40 : 3,494,002,392,000.50 = 2,329,334,928,000.40 : x
  2. Step 2: Convert to fraction form
    2,329,334,928,000.40/3,494,002,392,000.50 = 2,329,334,928,000.40/x
  3. Step 3: Cross multiply
    2,329,334,928,000.40x = 3,494,002,392,000.50 × 2,329,334,928,000.40
  4. Step 4: Simplify right side
    2,329,334,928,000.40x = 8,138,701,810,203,709,172,350,976
  5. Step 5: Solve for x
    x = 8,138,701,810,203,709,172,350,976/2,329,334,928,000.40
  6. Step 6: Final answer
    x = 3,494,002,392,000.50

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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.