Finding the Fourth Proportional to 6,548,695,440,616, 9,036,593,233,910.50 and 3,622,186,080,249.80
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Solution
The fourth proportional to 6,548,695,440,616, 9,036,593,233,910.50 and 3,622,186,080,249.80 is: 4,998,281,340,393.38
Step by Step Solution
- Step 1: Write the proportion equation
6,548,695,440,616 : 9,036,593,233,910.50 = 3,622,186,080,249.80 : x - Step 2: Convert to fraction form
6,548,695,440,616/9,036,593,233,910.50 = 3,622,186,080,249.80/x - Step 3: Cross multiply
6,548,695,440,616x = 9,036,593,233,910.50 × 3,622,186,080,249.80 - Step 4: Simplify right side
6,548,695,440,616x = 32,732,222,224,750,137,380,438,016 - Step 5: Solve for x
x = 32,732,222,224,750,137,380,438,016/6,548,695,440,616 - Step 6: Final answer
x = 4,998,281,340,393.38
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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.