Finding the Fourth Proportional to 99,413,644,456.14, 137,190,824,102.79 and 53,687,915,465.82
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Solution
The fourth proportional to 99,413,644,456.14, 137,190,824,102.79 and 53,687,915,465.82 is: 74,089,320,509.38
Step by Step Solution
- Step 1: Write the proportion equation
99,413,644,456.14 : 137,190,824,102.79 = 53,687,915,465.82 : x - Step 2: Convert to fraction form
99,413,644,456.14/137,190,824,102.79 = 53,687,915,465.82/x - Step 3: Cross multiply
99,413,644,456.14x = 137,190,824,102.79 × 53,687,915,465.82 - Step 4: Simplify right side
99,413,644,456.14x = 7,365,489,367,116,770,443,264 - Step 5: Solve for x
x = 7,365,489,367,116,770,443,264/99,413,644,456.14 - Step 6: Final answer
x = 74,089,320,509.38
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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.