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Finding the Fourth Proportional to 13,440,074,126.80, 18,772,568,130.80 and 13,440,074,126.80

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Solution

The fourth proportional to 13,440,074,126.80, 18,772,568,130.80 and 13,440,074,126.80 is: 18,772,568,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,440,074,126.80 : 18,772,568,130.80 = 13,440,074,126.80 : x
  2. Step 2: Convert to fraction form
    13,440,074,126.80/18,772,568,130.80 = 13,440,074,126.80/x
  3. Step 3: Cross multiply
    13,440,074,126.80x = 18,772,568,130.80 × 13,440,074,126.80
  4. Step 4: Simplify right side
    13,440,074,126.80x = 252,304,707,228,355,297,280
  5. Step 5: Solve for x
    x = 252,304,707,228,355,297,280/13,440,074,126.80
  6. Step 6: Final answer
    x = 18,772,568,130.80

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