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Finding the Fourth Proportional to 20,162,034,171.23, 30,184,938,183.49 and 20,162,034,171.23

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Solution

The fourth proportional to 20,162,034,171.23, 30,184,938,183.49 and 20,162,034,171.23 is: 30,184,938,183.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162,034,171.23 : 30,184,938,183.49 = 20,162,034,171.23 : x
  2. Step 2: Convert to fraction form
    20,162,034,171.23/30,184,938,183.49 = 20,162,034,171.23/x
  3. Step 3: Cross multiply
    20,162,034,171.23x = 30,184,938,183.49 × 20,162,034,171.23
  4. Step 4: Simplify right side
    20,162,034,171.23x = 608,589,755,111,799,259,136
  5. Step 5: Solve for x
    x = 608,589,755,111,799,259,136/20,162,034,171.23
  6. Step 6: Final answer
    x = 30,184,938,183.49

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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.