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Finding the Fourth Proportional to 12,413,774,019.20, 18,620,661,028.80 and 12,413,774,019.20

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Solution

The fourth proportional to 12,413,774,019.20, 18,620,661,028.80 and 12,413,774,019.20 is: 18,620,661,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413,774,019.20 : 18,620,661,028.80 = 12,413,774,019.20 : x
  2. Step 2: Convert to fraction form
    12,413,774,019.20/18,620,661,028.80 = 12,413,774,019.20/x
  3. Step 3: Cross multiply
    12,413,774,019.20x = 18,620,661,028.80 × 12,413,774,019.20
  4. Step 4: Simplify right side
    12,413,774,019.20x = 231,152,678,099,647,397,888
  5. Step 5: Solve for x
    x = 231,152,678,099,647,397,888/12,413,774,019.20
  6. Step 6: Final answer
    x = 18,620,661,028.80

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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.