Finding the Fourth Proportional to 4,737,789,440,800, 6,538,149,428,305 and 2,710,116,694,816
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Solution
The fourth proportional to 4,737,789,440,800, 6,538,149,428,305 and 2,710,116,694,816 is: 3,739,961,038,846.65
Step by Step Solution
- Step 1: Write the proportion equation
4,737,789,440,800 : 6,538,149,428,305 = 2,710,116,694,816 : x - Step 2: Convert to fraction form
4,737,789,440,800/6,538,149,428,305 = 2,710,116,694,816/x - Step 3: Cross multiply
4,737,789,440,800x = 6,538,149,428,305 × 2,710,116,694,816 - Step 4: Simplify right side
4,737,789,440,800x = 17,719,147,918,851,067,321,778,176 - Step 5: Solve for x
x = 17,719,147,918,851,067,321,778,176/4,737,789,440,800 - Step 6: Final answer
x = 3,739,961,038,846.65
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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.