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Finding the Fourth Proportional to 798,733,894.80, 1,198,006,363.80 and 216,432,022.80

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Solution

The fourth proportional to 798,733,894.80, 1,198,006,363.80 and 216,432,022.80 is: 324,622,433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,733,894.80 : 1,198,006,363.80 = 216,432,022.80 : x
  2. Step 2: Convert to fraction form
    798,733,894.80/1,198,006,363.80 = 216,432,022.80/x
  3. Step 3: Cross multiply
    798,733,894.80x = 1,198,006,363.80 × 216,432,022.80
  4. Step 4: Simplify right side
    798,733,894.80x = 259,286,940,644,506,688
  5. Step 5: Solve for x
    x = 259,286,940,644,506,688/798,733,894.80
  6. Step 6: Final answer
    x = 324,622,433.49

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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.