Finding the Fourth Proportional to 4,086,175,931,676, 6,129,269,796,555 and 1,668,676,753,412.10
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Solution
The fourth proportional to 4,086,175,931,676, 6,129,269,796,555 and 1,668,676,753,412.10 is: 2,503,017,539,116.87
Step by Step Solution
- Step 1: Write the proportion equation
4,086,175,931,676 : 6,129,269,796,555 = 1,668,676,753,412.10 : x - Step 2: Convert to fraction form
4,086,175,931,676/6,129,269,796,555 = 1,668,676,753,412.10/x - Step 3: Cross multiply
4,086,175,931,676x = 6,129,269,796,555 × 1,668,676,753,412.10 - Step 4: Simplify right side
4,086,175,931,676x = 10,227,770,024,902,241,107,836,928 - Step 5: Solve for x
x = 10,227,770,024,902,241,107,836,928/4,086,175,931,676 - Step 6: Final answer
x = 2,503,017,539,116.87
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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.