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Finding the Fourth Proportional to 6,738,156,064.20, 10,107,234,096.30 and 6,738,156,064.20

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Solution

The fourth proportional to 6,738,156,064.20, 10,107,234,096.30 and 6,738,156,064.20 is: 10,107,234,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738,156,064.20 : 10,107,234,096.30 = 6,738,156,064.20 : x
  2. Step 2: Convert to fraction form
    6,738,156,064.20/10,107,234,096.30 = 6,738,156,064.20/x
  3. Step 3: Cross multiply
    6,738,156,064.20x = 10,107,234,096.30 × 6,738,156,064.20
  4. Step 4: Simplify right side
    6,738,156,064.20x = 68,104,120,718,272,847,872
  5. Step 5: Solve for x
    x = 68,104,120,718,272,847,872/6,738,156,064.20
  6. Step 6: Final answer
    x = 10,107,234,096.30

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Double scale
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Similar ratio
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1.5x scale

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.