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Finding the Fourth Proportional to 1,099,351,729.10, 1,649,027,593.65 and 1,099,351,729.10

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Solution

The fourth proportional to 1,099,351,729.10, 1,649,027,593.65 and 1,099,351,729.10 is: 1,649,027,593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,351,729.10 : 1,649,027,593.65 = 1,099,351,729.10 : x
  2. Step 2: Convert to fraction form
    1,099,351,729.10/1,649,027,593.65 = 1,099,351,729.10/x
  3. Step 3: Cross multiply
    1,099,351,729.10x = 1,649,027,593.65 × 1,099,351,729.10
  4. Step 4: Simplify right side
    1,099,351,729.10x = 1,812,861,336,412,739,584
  5. Step 5: Solve for x
    x = 1,812,861,336,412,739,584/1,099,351,729.10
  6. Step 6: Final answer
    x = 1,649,027,593.65

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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.