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Finding the Fourth Proportional to 13,102,016,309.60, 19,653,024,464.43 and 13,102,016,309.60

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Solution

The fourth proportional to 13,102,016,309.60, 19,653,024,464.43 and 13,102,016,309.60 is: 19,653,024,464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102,016,309.60 : 19,653,024,464.43 = 13,102,016,309.60 : x
  2. Step 2: Convert to fraction form
    13,102,016,309.60/19,653,024,464.43 = 13,102,016,309.60/x
  3. Step 3: Cross multiply
    13,102,016,309.60x = 19,653,024,464.43 × 13,102,016,309.60
  4. Step 4: Simplify right side
    13,102,016,309.60x = 257,494,247,065,929,678,848
  5. Step 5: Solve for x
    x = 257,494,247,065,929,678,848/13,102,016,309.60
  6. Step 6: Final answer
    x = 19,653,024,464.43

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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.