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Finding the Fourth Proportional to 2,986,683,138.40, 4,171,681,805.60 and 2,986,683,138.40

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Solution

The fourth proportional to 2,986,683,138.40, 4,171,681,805.60 and 2,986,683,138.40 is: 4,171,681,805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986,683,138.40 : 4,171,681,805.60 = 2,986,683,138.40 : x
  2. Step 2: Convert to fraction form
    2,986,683,138.40/4,171,681,805.60 = 2,986,683,138.40/x
  3. Step 3: Cross multiply
    2,986,683,138.40x = 4,171,681,805.60 × 2,986,683,138.40
  4. Step 4: Simplify right side
    2,986,683,138.40x = 12,459,491,707,555,586,048
  5. Step 5: Solve for x
    x = 12,459,491,707,555,586,048/2,986,683,138.40
  6. Step 6: Final answer
    x = 4,171,681,805.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.