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Finding the Fourth Proportional to 487,589,465,905.20, 731,384,198,857.80 and 487,589,465,905.20

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Solution

The fourth proportional to 487,589,465,905.20, 731,384,198,857.80 and 487,589,465,905.20 is: 731,384,198,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,589,465,905.20 : 731,384,198,857.80 = 487,589,465,905.20 : x
  2. Step 2: Convert to fraction form
    487,589,465,905.20/731,384,198,857.80 = 487,589,465,905.20/x
  3. Step 3: Cross multiply
    487,589,465,905.20x = 731,384,198,857.80 × 487,589,465,905.20
  4. Step 4: Simplify right side
    487,589,465,905.20x = 356,615,230,892,577,317,191,680
  5. Step 5: Solve for x
    x = 356,615,230,892,577,317,191,680/487,589,465,905.20
  6. Step 6: Final answer
    x = 731,384,198,857.80

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1.5x scale

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.