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Finding the Fourth Proportional to 1,602,854,846,163.80, 2,404,282,269,245.40 and 1,602,854,846,163.80

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Solution

The fourth proportional to 1,602,854,846,163.80, 2,404,282,269,245.40 and 1,602,854,846,163.80 is: 2,404,282,269,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,854,846,163.80 : 2,404,282,269,245.40 = 1,602,854,846,163.80 : x
  2. Step 2: Convert to fraction form
    1,602,854,846,163.80/2,404,282,269,245.40 = 1,602,854,846,163.80/x
  3. Step 3: Cross multiply
    1,602,854,846,163.80x = 2,404,282,269,245.40 × 1,602,854,846,163.80
  4. Step 4: Simplify right side
    1,602,854,846,163.80x = 3,853,715,486,805,687,491,624,960
  5. Step 5: Solve for x
    x = 3,853,715,486,805,687,491,624,960/1,602,854,846,163.80
  6. Step 6: Final answer
    x = 2,404,282,269,245.40

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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.