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Finding the Fourth Proportional to 360,819,092.82, 497,930,347.95 and 195,806,662.32

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Solution

The fourth proportional to 360,819,092.82, 497,930,347.95 and 195,806,662.32 is: 270,213,193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,819,092.82 : 497,930,347.95 = 195,806,662.32 : x
  2. Step 2: Convert to fraction form
    360,819,092.82/497,930,347.95 = 195,806,662.32/x
  3. Step 3: Cross multiply
    360,819,092.82x = 497,930,347.95 × 195,806,662.32
  4. Step 4: Simplify right side
    360,819,092.82x = 97,498,079,498,260,352
  5. Step 5: Solve for x
    x = 97,498,079,498,260,352/360,819,092.82
  6. Step 6: Final answer
    x = 270,213,193.92

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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.