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Finding the Fourth Proportional to 4,011,389,568,266.40, 6,017,084,352,399.40 and 4,011,389,568,266.40

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Solution

The fourth proportional to 4,011,389,568,266.40, 6,017,084,352,399.40 and 4,011,389,568,266.40 is: 6,017,084,352,399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,011,389,568,266.40 : 6,017,084,352,399.40 = 4,011,389,568,266.40 : x
  2. Step 2: Convert to fraction form
    4,011,389,568,266.40/6,017,084,352,399.40 = 4,011,389,568,266.40/x
  3. Step 3: Cross multiply
    4,011,389,568,266.40x = 6,017,084,352,399.40 × 4,011,389,568,266.40
  4. Step 4: Simplify right side
    4,011,389,568,266.40x = 24,136,869,402,593,941,042,233,344
  5. Step 5: Solve for x
    x = 24,136,869,402,593,941,042,233,344/4,011,389,568,266.40
  6. Step 6: Final answer
    x = 6,017,084,352,399.40

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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.