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Finding the Fourth Proportional to 30,241,480.10, 45,299,234.55 and 30,241,480.10

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Solution

The fourth proportional to 30,241,480.10, 45,299,234.55 and 30,241,480.10 is: 45,299,234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,241,480.10 : 45,299,234.55 = 30,241,480.10 : x
  2. Step 2: Convert to fraction form
    30,241,480.10/45,299,234.55 = 30,241,480.10/x
  3. Step 3: Cross multiply
    30,241,480.10x = 45,299,234.55 × 30,241,480.10
  4. Step 4: Simplify right side
    30,241,480.10x = 1,369,915,900,189,057.50
  5. Step 5: Solve for x
    x = 1,369,915,900,189,057.50/30,241,480.10
  6. Step 6: Final answer
    x = 45,299,234.55

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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.