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Finding the Fourth Proportional to 419,995,910.40, 629,993,865.60 and 419,995,910.40

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Solution

The fourth proportional to 419,995,910.40, 629,993,865.60 and 419,995,910.40 is: 629,993,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,995,910.40 : 629,993,865.60 = 419,995,910.40 : x
  2. Step 2: Convert to fraction form
    419,995,910.40/629,993,865.60 = 419,995,910.40/x
  3. Step 3: Cross multiply
    419,995,910.40x = 629,993,865.60 × 419,995,910.40
  4. Step 4: Simplify right side
    419,995,910.40x = 264,594,847,129,087,232
  5. Step 5: Solve for x
    x = 264,594,847,129,087,232/419,995,910.40
  6. Step 6: Final answer
    x = 629,993,865.60

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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.