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Finding the Fourth Proportional to 106,873,404,548.80, 160,310,106,823.20 and 106,873,404,548.80

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Solution

The fourth proportional to 106,873,404,548.80, 160,310,106,823.20 and 106,873,404,548.80 is: 160,310,106,823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,873,404,548.80 : 160,310,106,823.20 = 106,873,404,548.80 : x
  2. Step 2: Convert to fraction form
    106,873,404,548.80/160,310,106,823.20 = 106,873,404,548.80/x
  3. Step 3: Cross multiply
    106,873,404,548.80x = 160,310,106,823.20 × 106,873,404,548.80
  4. Step 4: Simplify right side
    106,873,404,548.80x = 17,132,886,899,777,198,882,816
  5. Step 5: Solve for x
    x = 17,132,886,899,777,198,882,816/106,873,404,548.80
  6. Step 6: Final answer
    x = 160,310,106,823.20

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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.