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Finding the Fourth Proportional to 20,097,067,809.45, 30,145,601,714.18 and 20,097,067,809.45

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Solution

The fourth proportional to 20,097,067,809.45, 30,145,601,714.18 and 20,097,067,809.45 is: 30,145,601,714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097,067,809.45 : 30,145,601,714.18 = 20,097,067,809.45 : x
  2. Step 2: Convert to fraction form
    20,097,067,809.45/30,145,601,714.18 = 20,097,067,809.45/x
  3. Step 3: Cross multiply
    20,097,067,809.45x = 30,145,601,714.18 × 20,097,067,809.45
  4. Step 4: Simplify right side
    20,097,067,809.45x = 605,838,201,806,447,181,824
  5. Step 5: Solve for x
    x = 605,838,201,806,447,181,824/20,097,067,809.45
  6. Step 6: Final answer
    x = 30,145,601,714.18

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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.