Finding the Fourth Proportional to 1,515,085,489,609.80, 2,090,801,319,119.40 and 820,608,771,328.62
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Solution
The fourth proportional to 1,515,085,489,609.80, 2,090,801,319,119.40 and 820,608,771,328.62 is: 1,132,431,082,827.35
Step by Step Solution
- Step 1: Write the proportion equation
1,515,085,489,609.80 : 2,090,801,319,119.40 = 820,608,771,328.62 : x - Step 2: Convert to fraction form
1,515,085,489,609.80/2,090,801,319,119.40 = 820,608,771,328.62/x - Step 3: Cross multiply
1,515,085,489,609.80x = 2,090,801,319,119.40 × 820,608,771,328.62 - Step 4: Simplify right side
1,515,085,489,609.80x = 1,715,729,901,574,828,687,622,144 - Step 5: Solve for x
x = 1,715,729,901,574,828,687,622,144/1,515,085,489,609.80 - Step 6: Final answer
x = 1,132,431,082,827.35
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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.