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Finding the Fourth Proportional to 310,888,976.10, 466,632,062.55 and 157,707,996.90

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Solution

The fourth proportional to 310,888,976.10, 466,632,062.55 and 157,707,996.90 is: 236,713,468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,888,976.10 : 466,632,062.55 = 157,707,996.90 : x
  2. Step 2: Convert to fraction form
    310,888,976.10/466,632,062.55 = 157,707,996.90/x
  3. Step 3: Cross multiply
    310,888,976.10x = 466,632,062.55 × 157,707,996.90
  4. Step 4: Simplify right side
    310,888,976.10x = 73,591,607,874,076,016
  5. Step 5: Solve for x
    x = 73,591,607,874,076,016/310,888,976.10
  6. Step 6: Final answer
    x = 236,713,468.57

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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.