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Finding the Fourth Proportional to 419,907,861.60, 629,861,792.40 and 384,195,026.40

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Solution

The fourth proportional to 419,907,861.60, 629,861,792.40 and 384,195,026.40 is: 576,292,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,907,861.60 : 629,861,792.40 = 384,195,026.40 : x
  2. Step 2: Convert to fraction form
    419,907,861.60/629,861,792.40 = 384,195,026.40/x
  3. Step 3: Cross multiply
    419,907,861.60x = 629,861,792.40 × 384,195,026.40
  4. Step 4: Simplify right side
    419,907,861.60x = 241,989,767,959,469,280
  5. Step 5: Solve for x
    x = 241,989,767,959,469,280/419,907,861.60
  6. Step 6: Final answer
    x = 576,292,539.60

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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.