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Finding the Fourth Proportional to 266,379,408,365.17, 399,409,544,978.76 and 84,783,801,309.61

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Solution

The fourth proportional to 266,379,408,365.17, 399,409,544,978.76 and 84,783,801,309.61 is: 127,124,914,461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,379,408,365.17 : 399,409,544,978.76 = 84,783,801,309.61 : x
  2. Step 2: Convert to fraction form
    266,379,408,365.17/399,409,544,978.76 = 84,783,801,309.61/x
  3. Step 3: Cross multiply
    266,379,408,365.17x = 399,409,544,978.76 × 84,783,801,309.61
  4. Step 4: Simplify right side
    266,379,408,365.17x = 33,863,459,502,640,926,294,016
  5. Step 5: Solve for x
    x = 33,863,459,502,640,926,294,016/266,379,408,365.17
  6. Step 6: Final answer
    x = 127,124,914,461.18

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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.