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Finding the Fourth Proportional to 419,938,337.60, 629,907,506.40 and 419,938,337.60

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Solution

The fourth proportional to 419,938,337.60, 629,907,506.40 and 419,938,337.60 is: 629,907,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,938,337.60 : 629,907,506.40 = 419,938,337.60 : x
  2. Step 2: Convert to fraction form
    419,938,337.60/629,907,506.40 = 419,938,337.60/x
  3. Step 3: Cross multiply
    419,938,337.60x = 629,907,506.40 × 419,938,337.60
  4. Step 4: Simplify right side
    419,938,337.60x = 264,522,311,079,377,376
  5. Step 5: Solve for x
    x = 264,522,311,079,377,376/419,938,337.60
  6. Step 6: Final answer
    x = 629,907,506.40

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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.