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Finding the Fourth Proportional to 682,340,996, 1,023,514,468.32 and 216,004,701.80

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Solution

The fourth proportional to 682,340,996, 1,023,514,468.32 and 216,004,701.80 is: 324,007,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,340,996 : 1,023,514,468.32 = 216,004,701.80 : x
  2. Step 2: Convert to fraction form
    682,340,996/1,023,514,468.32 = 216,004,701.80/x
  3. Step 3: Cross multiply
    682,340,996x = 1,023,514,468.32 × 216,004,701.80
  4. Step 4: Simplify right side
    682,340,996x = 221,083,937,517,447,168
  5. Step 5: Solve for x
    x = 221,083,937,517,447,168/682,340,996
  6. Step 6: Final answer
    x = 324,007,994.26

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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.