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Finding the Fourth Proportional to 81,729,072,904.65, 122,593,609,356.97 and 81,729,072,904.65

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Solution

The fourth proportional to 81,729,072,904.65, 122,593,609,356.97 and 81,729,072,904.65 is: 122,593,609,356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,729,072,904.65 : 122,593,609,356.97 = 81,729,072,904.65 : x
  2. Step 2: Convert to fraction form
    81,729,072,904.65/122,593,609,356.97 = 81,729,072,904.65/x
  3. Step 3: Cross multiply
    81,729,072,904.65x = 122,593,609,356.97 × 81,729,072,904.65
  4. Step 4: Simplify right side
    81,729,072,904.65x = 10,019,462,036,779,983,437,824
  5. Step 5: Solve for x
    x = 10,019,462,036,779,983,437,824/81,729,072,904.65
  6. Step 6: Final answer
    x = 122,593,609,356.97

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Double scale
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1.5x scale

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.