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Finding the Fourth Proportional to 419,938,400.40, 629,907,600.60 and 396,129,843.60

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Solution

The fourth proportional to 419,938,400.40, 629,907,600.60 and 396,129,843.60 is: 594,194,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,938,400.40 : 629,907,600.60 = 396,129,843.60 : x
  2. Step 2: Convert to fraction form
    419,938,400.40/629,907,600.60 = 396,129,843.60/x
  3. Step 3: Cross multiply
    419,938,400.40x = 629,907,600.60 × 396,129,843.60
  4. Step 4: Simplify right side
    419,938,400.40x = 249,525,199,308,129,280
  5. Step 5: Solve for x
    x = 249,525,199,308,129,280/419,938,400.40
  6. Step 6: Final answer
    x = 594,194,765.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.