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Finding the Fourth Proportional to 419,957,464.90, 629,936,197.35 and 419,957,464.90

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Solution

The fourth proportional to 419,957,464.90, 629,936,197.35 and 419,957,464.90 is: 629,936,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,957,464.90 : 629,936,197.35 = 419,957,464.90 : x
  2. Step 2: Convert to fraction form
    419,957,464.90/629,936,197.35 = 419,957,464.90/x
  3. Step 3: Cross multiply
    419,957,464.90x = 629,936,197.35 × 419,957,464.90
  4. Step 4: Simplify right side
    419,957,464.90x = 264,546,408,487,852,096
  5. Step 5: Solve for x
    x = 264,546,408,487,852,096/419,957,464.90
  6. Step 6: Final answer
    x = 629,936,197.35

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Double scale
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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.