Finding the Fourth Proportional to 3,081,040,543,743.10, 4,621,558,160,228.10 and 786,304,811,074.24
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Solution
The fourth proportional to 3,081,040,543,743.10, 4,621,558,160,228.10 and 786,304,811,074.24 is: 1,179,456,538,936.66
Step by Step Solution
- Step 1: Write the proportion equation
3,081,040,543,743.10 : 4,621,558,160,228.10 = 786,304,811,074.24 : x - Step 2: Convert to fraction form
3,081,040,543,743.10/4,621,558,160,228.10 = 786,304,811,074.24/x - Step 3: Cross multiply
3,081,040,543,743.10x = 4,621,558,160,228.10 × 786,304,811,074.24 - Step 4: Simplify right side
3,081,040,543,743.10x = 3,633,953,416,046,767,857,729,536 - Step 5: Solve for x
x = 3,633,953,416,046,767,857,729,536/3,081,040,543,743.10 - Step 6: Final answer
x = 1,179,456,538,936.66
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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.