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Finding the Fourth Proportional to 419,907,794.80, 629,861,692.20 and 419,907,794.80

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Solution

The fourth proportional to 419,907,794.80, 629,861,692.20 and 419,907,794.80 is: 629,861,692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,907,794.80 : 629,861,692.20 = 419,907,794.80 : x
  2. Step 2: Convert to fraction form
    419,907,794.80/629,861,692.20 = 419,907,794.80/x
  3. Step 3: Cross multiply
    419,907,794.80x = 629,861,692.20 × 419,907,794.80
  4. Step 4: Simplify right side
    419,907,794.80x = 264,483,834,200,698,400
  5. Step 5: Solve for x
    x = 264,483,834,200,698,400/419,907,794.80
  6. Step 6: Final answer
    x = 629,861,692.20

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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.