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Finding the Fourth Proportional to 408,855,278,881.80, 613,282,918,322.70 and 408,855,278,881.80

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Solution

The fourth proportional to 408,855,278,881.80, 613,282,918,322.70 and 408,855,278,881.80 is: 613,282,918,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,855,278,881.80 : 613,282,918,322.70 = 408,855,278,881.80 : x
  2. Step 2: Convert to fraction form
    408,855,278,881.80/613,282,918,322.70 = 408,855,278,881.80/x
  3. Step 3: Cross multiply
    408,855,278,881.80x = 613,282,918,322.70 × 408,855,278,881.80
  4. Step 4: Simplify right side
    408,855,278,881.80x = 250,743,958,604,271,660,826,624
  5. Step 5: Solve for x
    x = 250,743,958,604,271,660,826,624/408,855,278,881.80
  6. Step 6: Final answer
    x = 613,282,918,322.70

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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.