Finding the Fourth Proportional to 27,747,539,624.51, 38,291,633,021.09 and 15,060,277,906.09
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Solution
The fourth proportional to 27,747,539,624.51, 38,291,633,021.09 and 15,060,277,906.09 is: 20,783,198,891.85
Step by Step Solution
- Step 1: Write the proportion equation
27,747,539,624.51 : 38,291,633,021.09 = 15,060,277,906.09 : x - Step 2: Convert to fraction form
27,747,539,624.51/38,291,633,021.09 = 15,060,277,906.09/x - Step 3: Cross multiply
27,747,539,624.51x = 38,291,633,021.09 × 15,060,277,906.09 - Step 4: Simplify right side
27,747,539,624.51x = 576,682,634,775,627,956,224 - Step 5: Solve for x
x = 576,682,634,775,627,956,224/27,747,539,624.51 - Step 6: Final answer
x = 20,783,198,891.85
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.