Finding the Fourth Proportional to 81,695,678,257.82, 122,580,751,621.84 and 41,929,378,689.85
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Solution
The fourth proportional to 81,695,678,257.82, 122,580,751,621.84 and 41,929,378,689.85 is: 62,913,178,082.91
Step by Step Solution
- Step 1: Write the proportion equation
81,695,678,257.82 : 122,580,751,621.84 = 41,929,378,689.85 : x - Step 2: Convert to fraction form
81,695,678,257.82/122,580,751,621.84 = 41,929,378,689.85/x - Step 3: Cross multiply
81,695,678,257.82x = 122,580,751,621.84 × 41,929,378,689.85 - Step 4: Simplify right side
81,695,678,257.82x = 5,139,734,754,838,205,956,096 - Step 5: Solve for x
x = 5,139,734,754,838,205,956,096/81,695,678,257.82 - Step 6: Final answer
x = 62,913,178,082.91
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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.