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Finding the Fourth Proportional to 41,101,382,356.20, 57,417,960,742.20 and 41,101,382,356.20

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Solution

The fourth proportional to 41,101,382,356.20, 57,417,960,742.20 and 41,101,382,356.20 is: 57,417,960,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,101,382,356.20 : 57,417,960,742.20 = 41,101,382,356.20 : x
  2. Step 2: Convert to fraction form
    41,101,382,356.20/57,417,960,742.20 = 41,101,382,356.20/x
  3. Step 3: Cross multiply
    41,101,382,356.20x = 57,417,960,742.20 × 41,101,382,356.20
  4. Step 4: Simplify right side
    41,101,382,356.20x = 2,359,957,558,578,442,928,128
  5. Step 5: Solve for x
    x = 2,359,957,558,578,442,928,128/41,101,382,356.20
  6. Step 6: Final answer
    x = 57,417,960,742.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.