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Finding the Fourth Proportional to 3,836,267,998.40, 5,376,217,153.60 and 3,836,267,998.40

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Solution

The fourth proportional to 3,836,267,998.40, 5,376,217,153.60 and 3,836,267,998.40 is: 5,376,217,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836,267,998.40 : 5,376,217,153.60 = 3,836,267,998.40 : x
  2. Step 2: Convert to fraction form
    3,836,267,998.40/5,376,217,153.60 = 3,836,267,998.40/x
  3. Step 3: Cross multiply
    3,836,267,998.40x = 5,376,217,153.60 × 3,836,267,998.40
  4. Step 4: Simplify right side
    3,836,267,998.40x = 20,624,609,818,804,817,920
  5. Step 5: Solve for x
    x = 20,624,609,818,804,817,920/3,836,267,998.40
  6. Step 6: Final answer
    x = 5,376,217,153.60

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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.