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Finding the Fourth Proportional to 217,764,047.80, 326,646,071.70 and 96,595,499.80

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Solution

The fourth proportional to 217,764,047.80, 326,646,071.70 and 96,595,499.80 is: 144,893,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,764,047.80 : 326,646,071.70 = 96,595,499.80 : x
  2. Step 2: Convert to fraction form
    217,764,047.80/326,646,071.70 = 96,595,499.80/x
  3. Step 3: Cross multiply
    217,764,047.80x = 326,646,071.70 × 96,595,499.80
  4. Step 4: Simplify right side
    217,764,047.80x = 31,552,540,553,568,132
  5. Step 5: Solve for x
    x = 31,552,540,553,568,132/217,764,047.80
  6. Step 6: Final answer
    x = 144,893,249.70

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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.