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Finding the Fourth Proportional to 6,593,152,047.10, 9,244,002,410.90 and 6,593,152,047.10

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Solution

The fourth proportional to 6,593,152,047.10, 9,244,002,410.90 and 6,593,152,047.10 is: 9,244,002,410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593,152,047.10 : 9,244,002,410.90 = 6,593,152,047.10 : x
  2. Step 2: Convert to fraction form
    6,593,152,047.10/9,244,002,410.90 = 6,593,152,047.10/x
  3. Step 3: Cross multiply
    6,593,152,047.10x = 9,244,002,410.90 × 6,593,152,047.10
  4. Step 4: Simplify right side
    6,593,152,047.10x = 60,947,113,418,822,672,384
  5. Step 5: Solve for x
    x = 60,947,113,418,822,672,384/6,593,152,047.10
  6. Step 6: Final answer
    x = 9,244,002,410.90

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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.