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Finding the Fourth Proportional to 215,077,003,273.80, 322,615,504,910.70 and 215,077,003,273.80

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Solution

The fourth proportional to 215,077,003,273.80, 322,615,504,910.70 and 215,077,003,273.80 is: 322,615,504,910.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,077,003,273.80 : 322,615,504,910.70 = 215,077,003,273.80 : x
  2. Step 2: Convert to fraction form
    215,077,003,273.80/322,615,504,910.70 = 215,077,003,273.80/x
  3. Step 3: Cross multiply
    215,077,003,273.80x = 322,615,504,910.70 × 215,077,003,273.80
  4. Step 4: Simplify right side
    215,077,003,273.80x = 69,387,176,005,857,265,582,080
  5. Step 5: Solve for x
    x = 69,387,176,005,857,265,582,080/215,077,003,273.80
  6. Step 6: Final answer
    x = 322,615,504,910.70

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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.