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Finding the Fourth Proportional to 822,906,867,288.80, 1,234,360,300,933.20 and 822,906,867,288.80

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Solution

The fourth proportional to 822,906,867,288.80, 1,234,360,300,933.20 and 822,906,867,288.80 is: 1,234,360,300,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,906,867,288.80 : 1,234,360,300,933.20 = 822,906,867,288.80 : x
  2. Step 2: Convert to fraction form
    822,906,867,288.80/1,234,360,300,933.20 = 822,906,867,288.80/x
  3. Step 3: Cross multiply
    822,906,867,288.80x = 1,234,360,300,933.20 × 822,906,867,288.80
  4. Step 4: Simplify right side
    822,906,867,288.80x = 1,015,763,568,346,600,038,203,392
  5. Step 5: Solve for x
    x = 1,015,763,568,346,600,038,203,392/822,906,867,288.80
  6. Step 6: Final answer
    x = 1,234,360,300,933.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.