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Finding the Fourth Proportional to 164,261,131,125.30, 246,391,696,687.95 and 164,261,131,125.30

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Solution

The fourth proportional to 164,261,131,125.30, 246,391,696,687.95 and 164,261,131,125.30 is: 246,391,696,687.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,261,131,125.30 : 246,391,696,687.95 = 164,261,131,125.30 : x
  2. Step 2: Convert to fraction form
    164,261,131,125.30/246,391,696,687.95 = 164,261,131,125.30/x
  3. Step 3: Cross multiply
    164,261,131,125.30x = 246,391,696,687.95 × 164,261,131,125.30
  4. Step 4: Simplify right side
    164,261,131,125.30x = 40,472,578,797,844,499,005,440
  5. Step 5: Solve for x
    x = 40,472,578,797,844,499,005,440/164,261,131,125.30
  6. Step 6: Final answer
    x = 246,391,696,687.95

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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.