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Finding the Fourth Proportional to 402,409,344.80, 603,614,017.20 and 264,659,837.60

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Solution

The fourth proportional to 402,409,344.80, 603,614,017.20 and 264,659,837.60 is: 396,989,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,409,344.80 : 603,614,017.20 = 264,659,837.60 : x
  2. Step 2: Convert to fraction form
    402,409,344.80/603,614,017.20 = 264,659,837.60/x
  3. Step 3: Cross multiply
    402,409,344.80x = 603,614,017.20 × 264,659,837.60
  4. Step 4: Simplify right side
    402,409,344.80x = 159,752,387,765,235,616
  5. Step 5: Solve for x
    x = 159,752,387,765,235,616/402,409,344.80
  6. Step 6: Final answer
    x = 396,989,756.40

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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.