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Finding the Fourth Proportional to 398,644,713.20, 597,967,069.80 and 223,588,047.80

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Solution

The fourth proportional to 398,644,713.20, 597,967,069.80 and 223,588,047.80 is: 335,382,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,644,713.20 : 597,967,069.80 = 223,588,047.80 : x
  2. Step 2: Convert to fraction form
    398,644,713.20/597,967,069.80 = 223,588,047.80/x
  3. Step 3: Cross multiply
    398,644,713.20x = 597,967,069.80 × 223,588,047.80
  4. Step 4: Simplify right side
    398,644,713.20x = 133,698,289,785,268,336
  5. Step 5: Solve for x
    x = 133,698,289,785,268,336/398,644,713.20
  6. Step 6: Final answer
    x = 335,382,071.70

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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.