Finding the Fourth Proportional to 1,515,085,489,612.10, 2,090,801,319,122.70 and 820,608,771,330.95
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Solution
The fourth proportional to 1,515,085,489,612.10, 2,090,801,319,122.70 and 820,608,771,330.95 is: 1,132,431,082,830.63
Step by Step Solution
- Step 1: Write the proportion equation
1,515,085,489,612.10 : 2,090,801,319,122.70 = 820,608,771,330.95 : x - Step 2: Convert to fraction form
1,515,085,489,612.10/2,090,801,319,122.70 = 820,608,771,330.95/x - Step 3: Cross multiply
1,515,085,489,612.10x = 2,090,801,319,122.70 × 820,608,771,330.95 - Step 4: Simplify right side
1,515,085,489,612.10x = 1,715,729,901,582,408,231,157,760 - Step 5: Solve for x
x = 1,715,729,901,582,408,231,157,760/1,515,085,489,612.10 - Step 6: Final answer
x = 1,132,431,082,830.63
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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.