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Finding the Fourth Proportional to 325,809,993,726.30, 488,714,990,589.44 and 325,809,993,726.30

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Solution

The fourth proportional to 325,809,993,726.30, 488,714,990,589.44 and 325,809,993,726.30 is: 488,714,990,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,809,993,726.30 : 488,714,990,589.44 = 325,809,993,726.30 : x
  2. Step 2: Convert to fraction form
    325,809,993,726.30/488,714,990,589.44 = 325,809,993,726.30/x
  3. Step 3: Cross multiply
    325,809,993,726.30x = 488,714,990,589.44 × 325,809,993,726.30
  4. Step 4: Simplify right side
    325,809,993,726.30x = 159,228,228,017,894,188,908,544
  5. Step 5: Solve for x
    x = 159,228,228,017,894,188,908,544/325,809,993,726.30
  6. Step 6: Final answer
    x = 488,714,990,589.44

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1.5x scale

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.