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Finding the Fourth Proportional to 499,071,751.40, 748,657,652.70 and 171,504,122.60

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Solution

The fourth proportional to 499,071,751.40, 748,657,652.70 and 171,504,122.60 is: 257,273,375.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,071,751.40 : 748,657,652.70 = 171,504,122.60 : x
  2. Step 2: Convert to fraction form
    499,071,751.40/748,657,652.70 = 171,504,122.60/x
  3. Step 3: Cross multiply
    499,071,751.40x = 748,657,652.70 × 171,504,122.60
  4. Step 4: Simplify right side
    499,071,751.40x = 128,397,873,854,089,024
  5. Step 5: Solve for x
    x = 128,397,873,854,089,024/499,071,751.40
  6. Step 6: Final answer
    x = 257,273,375.01

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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.