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Finding the Fourth Proportional to 419,907,496.40, 629,861,244.60 and 177,570,400.40

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Solution

The fourth proportional to 419,907,496.40, 629,861,244.60 and 177,570,400.40 is: 266,355,600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,907,496.40 : 629,861,244.60 = 177,570,400.40 : x
  2. Step 2: Convert to fraction form
    419,907,496.40/629,861,244.60 = 177,570,400.40/x
  3. Step 3: Cross multiply
    419,907,496.40x = 629,861,244.60 × 177,570,400.40
  4. Step 4: Simplify right side
    419,907,496.40x = 111,844,713,400,064,352
  5. Step 5: Solve for x
    x = 111,844,713,400,064,352/419,907,496.40
  6. Step 6: Final answer
    x = 266,355,600.60

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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.