Finding the Fourth Proportional to 7,632,654,776,694, 11,448,133,587,216 and 2,731,493,465,404
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Solution
The fourth proportional to 7,632,654,776,694, 11,448,133,587,216 and 2,731,493,465,404 is: 4,096,936,518,082.25
Step by Step Solution
- Step 1: Write the proportion equation
7,632,654,776,694 : 11,448,133,587,216 = 2,731,493,465,404 : x - Step 2: Convert to fraction form
7,632,654,776,694/11,448,133,587,216 = 2,731,493,465,404/x - Step 3: Cross multiply
7,632,654,776,694x = 11,448,133,587,216 × 2,731,493,465,404 - Step 4: Simplify right side
7,632,654,776,694x = 31,270,502,084,552,557,827,457,024 - Step 5: Solve for x
x = 31,270,502,084,552,557,827,457,024/7,632,654,776,694 - Step 6: Final answer
x = 4,096,936,518,082.25
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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.