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Finding the Fourth Proportional to 20,403,414,018.20, 30,605,121,027.30 and 20,403,414,018.20

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Solution

The fourth proportional to 20,403,414,018.20, 30,605,121,027.30 and 20,403,414,018.20 is: 30,605,121,027.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,403,414,018.20 : 30,605,121,027.30 = 20,403,414,018.20 : x
  2. Step 2: Convert to fraction form
    20,403,414,018.20/30,605,121,027.30 = 20,403,414,018.20/x
  3. Step 3: Cross multiply
    20,403,414,018.20x = 30,605,121,027.30 × 20,403,414,018.20
  4. Step 4: Simplify right side
    20,403,414,018.20x = 624,448,955,397,120,458,752
  5. Step 5: Solve for x
    x = 624,448,955,397,120,458,752/20,403,414,018.20
  6. Step 6: Final answer
    x = 30,605,121,027.30

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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.