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Finding the Fourth Proportional to 360,819,093.82, 497,930,349.33 and 195,806,663.32

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Solution

The fourth proportional to 360,819,093.82, 497,930,349.33 and 195,806,663.32 is: 270,213,195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,819,093.82 : 497,930,349.33 = 195,806,663.32 : x
  2. Step 2: Convert to fraction form
    360,819,093.82/497,930,349.33 = 195,806,663.32/x
  3. Step 3: Cross multiply
    360,819,093.82x = 497,930,349.33 × 195,806,663.32
  4. Step 4: Simplify right side
    360,819,093.82x = 97,498,080,268,069,296
  5. Step 5: Solve for x
    x = 97,498,080,268,069,296/360,819,093.82
  6. Step 6: Final answer
    x = 270,213,195.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.