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Finding the Fourth Proportional to 74,259,723,816.09, 111,389,585,724.13 and 74,259,723,816.09

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Solution

The fourth proportional to 74,259,723,816.09, 111,389,585,724.13 and 74,259,723,816.09 is: 111,389,585,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,259,723,816.09 : 111,389,585,724.13 = 74,259,723,816.09 : x
  2. Step 2: Convert to fraction form
    74,259,723,816.09/111,389,585,724.13 = 74,259,723,816.09/x
  3. Step 3: Cross multiply
    74,259,723,816.09x = 111,389,585,724.13 × 74,259,723,816.09
  4. Step 4: Simplify right side
    74,259,723,816.09x = 8,271,759,871,862,018,932,736
  5. Step 5: Solve for x
    x = 8,271,759,871,862,018,932,736/74,259,723,816.09
  6. Step 6: Final answer
    x = 111,389,585,724.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.