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Finding the Fourth Proportional to 235,992,912,019.30, 353,989,368,028.95 and 235,992,912,019.30

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Solution

The fourth proportional to 235,992,912,019.30, 353,989,368,028.95 and 235,992,912,019.30 is: 353,989,368,028.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,992,912,019.30 : 353,989,368,028.95 = 235,992,912,019.30 : x
  2. Step 2: Convert to fraction form
    235,992,912,019.30/353,989,368,028.95 = 235,992,912,019.30/x
  3. Step 3: Cross multiply
    235,992,912,019.30x = 353,989,368,028.95 × 235,992,912,019.30
  4. Step 4: Simplify right side
    235,992,912,019.30x = 83,538,981,785,023,608,258,560
  5. Step 5: Solve for x
    x = 83,538,981,785,023,608,258,560/235,992,912,019.30
  6. Step 6: Final answer
    x = 353,989,368,028.95

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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.