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Finding the Fourth Proportional to 419,328,801.60, 628,993,202.40 and 345,352,214.40

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Solution

The fourth proportional to 419,328,801.60, 628,993,202.40 and 345,352,214.40 is: 518,028,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,328,801.60 : 628,993,202.40 = 345,352,214.40 : x
  2. Step 2: Convert to fraction form
    419,328,801.60/628,993,202.40 = 345,352,214.40/x
  3. Step 3: Cross multiply
    419,328,801.60x = 628,993,202.40 × 345,352,214.40
  4. Step 4: Simplify right side
    419,328,801.60x = 217,224,195,291,387,360
  5. Step 5: Solve for x
    x = 217,224,195,291,387,360/419,328,801.60
  6. Step 6: Final answer
    x = 518,028,321.60

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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.