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Finding the Fourth Proportional to 1,096,101,014.90, 1,644,151,522.37 and 1,096,101,014.90

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Solution

The fourth proportional to 1,096,101,014.90, 1,644,151,522.37 and 1,096,101,014.90 is: 1,644,151,522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,101,014.90 : 1,644,151,522.37 = 1,096,101,014.90 : x
  2. Step 2: Convert to fraction form
    1,096,101,014.90/1,644,151,522.37 = 1,096,101,014.90/x
  3. Step 3: Cross multiply
    1,096,101,014.90x = 1,644,151,522.37 × 1,096,101,014.90
  4. Step 4: Simplify right side
    1,096,101,014.90x = 1,802,156,152,313,656,832
  5. Step 5: Solve for x
    x = 1,802,156,152,313,656,832/1,096,101,014.90
  6. Step 6: Final answer
    x = 1,644,151,522.37

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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.