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Finding the Fourth Proportional to 812,593,066.80, 1,218,889,600.20 and 605,664,375.60

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Solution

The fourth proportional to 812,593,066.80, 1,218,889,600.20 and 605,664,375.60 is: 908,496,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,593,066.80 : 1,218,889,600.20 = 605,664,375.60 : x
  2. Step 2: Convert to fraction form
    812,593,066.80/1,218,889,600.20 = 605,664,375.60/x
  3. Step 3: Cross multiply
    812,593,066.80x = 1,218,889,600.20 × 605,664,375.60
  4. Step 4: Simplify right side
    812,593,066.80x = 738,238,008,630,466,688
  5. Step 5: Solve for x
    x = 738,238,008,630,466,688/812,593,066.80
  6. Step 6: Final answer
    x = 908,496,563.40

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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.