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Finding the Fourth Proportional to 310,873,247.60, 466,608,469.80 and 157,692,268.40

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Solution

The fourth proportional to 310,873,247.60, 466,608,469.80 and 157,692,268.40 is: 236,689,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,873,247.60 : 466,608,469.80 = 157,692,268.40 : x
  2. Step 2: Convert to fraction form
    310,873,247.60/466,608,469.80 = 157,692,268.40/x
  3. Step 3: Cross multiply
    310,873,247.60x = 466,608,469.80 × 157,692,268.40
  4. Step 4: Simplify right side
    310,873,247.60x = 73,580,548,057,414,896
  5. Step 5: Solve for x
    x = 73,580,548,057,414,896/310,873,247.60
  6. Step 6: Final answer
    x = 236,689,868.38

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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.