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Finding the Fourth Proportional to 15,707,325,975.30, 23,560,988,962.95 and 15,707,325,975.30

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Solution

The fourth proportional to 15,707,325,975.30, 23,560,988,962.95 and 15,707,325,975.30 is: 23,560,988,962.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707,325,975.30 : 23,560,988,962.95 = 15,707,325,975.30 : x
  2. Step 2: Convert to fraction form
    15,707,325,975.30/23,560,988,962.95 = 15,707,325,975.30/x
  3. Step 3: Cross multiply
    15,707,325,975.30x = 23,560,988,962.95 × 15,707,325,975.30
  4. Step 4: Simplify right side
    15,707,325,975.30x = 370,080,133,941,501,165,568
  5. Step 5: Solve for x
    x = 370,080,133,941,501,165,568/15,707,325,975.30
  6. Step 6: Final answer
    x = 23,560,988,962.95

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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.