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Finding the Fourth Proportional to 158,647,896,209.40, 237,971,844,314.10 and 158,647,896,209.40

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Solution

The fourth proportional to 158,647,896,209.40, 237,971,844,314.10 and 158,647,896,209.40 is: 237,971,844,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,647,896,209.40 : 237,971,844,314.10 = 158,647,896,209.40 : x
  2. Step 2: Convert to fraction form
    158,647,896,209.40/237,971,844,314.10 = 158,647,896,209.40/x
  3. Step 3: Cross multiply
    158,647,896,209.40x = 237,971,844,314.10 × 158,647,896,209.40
  4. Step 4: Simplify right side
    158,647,896,209.40x = 37,753,732,457,502,833,901,568
  5. Step 5: Solve for x
    x = 37,753,732,457,502,833,901,568/158,647,896,209.40
  6. Step 6: Final answer
    x = 237,971,844,314.10

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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.