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Finding the Fourth Proportional to 682,340,994, 1,023,514,465.32 and 216,004,699.80

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Solution

The fourth proportional to 682,340,994, 1,023,514,465.32 and 216,004,699.80 is: 324,007,991.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,340,994 : 1,023,514,465.32 = 216,004,699.80 : x
  2. Step 2: Convert to fraction form
    682,340,994/1,023,514,465.32 = 216,004,699.80/x
  3. Step 3: Cross multiply
    682,340,994x = 1,023,514,465.32 × 216,004,699.80
  4. Step 4: Simplify right side
    682,340,994x = 221,083,934,822,404,128
  5. Step 5: Solve for x
    x = 221,083,934,822,404,128/682,340,994
  6. Step 6: Final answer
    x = 324,007,991.26

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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.