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Finding the Fourth Proportional to 419,907,564.60, 629,861,346.90 and 394,377,401.40

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Solution

The fourth proportional to 419,907,564.60, 629,861,346.90 and 394,377,401.40 is: 591,566,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,907,564.60 : 629,861,346.90 = 394,377,401.40 : x
  2. Step 2: Convert to fraction form
    419,907,564.60/629,861,346.90 = 394,377,401.40/x
  3. Step 3: Cross multiply
    419,907,564.60x = 629,861,346.90 × 394,377,401.40
  4. Step 4: Simplify right side
    419,907,564.60x = 248,403,081,232,725,920
  5. Step 5: Solve for x
    x = 248,403,081,232,725,920/419,907,564.60
  6. Step 6: Final answer
    x = 591,566,102.10

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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.