Finding the Fourth Proportional to 408,342,936,659.97, 612,505,993,784.01 and 136,086,957,001.11
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Solution
The fourth proportional to 408,342,936,659.97, 612,505,993,784.01 and 136,086,957,001.11 is: 204,127,632,329.82
Step by Step Solution
- Step 1: Write the proportion equation
408,342,936,659.97 : 612,505,993,784.01 = 136,086,957,001.11 : x - Step 2: Convert to fraction form
408,342,936,659.97/612,505,993,784.01 = 136,086,957,001.11/x - Step 3: Cross multiply
408,342,936,659.97x = 612,505,993,784.01 × 136,086,957,001.11 - Step 4: Simplify right side
408,342,936,659.97x = 83,354,076,839,006,726,782,976 - Step 5: Solve for x
x = 83,354,076,839,006,726,782,976/408,342,936,659.97 - Step 6: Final answer
x = 204,127,632,329.82
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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.