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Finding the Fourth Proportional to 43,462,143,003.15, 65,193,214,504.73 and 43,462,143,003.15

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Solution

The fourth proportional to 43,462,143,003.15, 65,193,214,504.73 and 43,462,143,003.15 is: 65,193,214,504.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,462,143,003.15 : 65,193,214,504.73 = 43,462,143,003.15 : x
  2. Step 2: Convert to fraction form
    43,462,143,003.15/65,193,214,504.73 = 43,462,143,003.15/x
  3. Step 3: Cross multiply
    43,462,143,003.15x = 65,193,214,504.73 × 43,462,143,003.15
  4. Step 4: Simplify right side
    43,462,143,003.15x = 2,833,436,811,639,390,732,288
  5. Step 5: Solve for x
    x = 2,833,436,811,639,390,732,288/43,462,143,003.15
  6. Step 6: Final answer
    x = 65,193,214,504.73

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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.