Finding the Fourth Proportional to 305,578,247,127.83, 421,685,703,545.27 and 166,526,576,109.09
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Solution
The fourth proportional to 305,578,247,127.83, 421,685,703,545.27 and 166,526,576,109.09 is: 229,799,984,343.03
Step by Step Solution
- Step 1: Write the proportion equation
305,578,247,127.83 : 421,685,703,545.27 = 166,526,576,109.09 : x - Step 2: Convert to fraction form
305,578,247,127.83/421,685,703,545.27 = 166,526,576,109.09/x - Step 3: Cross multiply
305,578,247,127.83x = 421,685,703,545.27 × 166,526,576,109.09 - Step 4: Simplify right side
305,578,247,127.83x = 70,221,876,405,546,568,908,800 - Step 5: Solve for x
x = 70,221,876,405,546,568,908,800/305,578,247,127.83 - Step 6: Final answer
x = 229,799,984,343.03
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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.