Finding the Fourth Proportional to 13,145,844,472,451, 18,133,728,234,846 and 8,198,877,673,814
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Solution
The fourth proportional to 13,145,844,472,451, 18,133,728,234,846 and 8,198,877,673,814 is: 11,309,750,383,800.88
Step by Step Solution
- Step 1: Write the proportion equation
13,145,844,472,451 : 18,133,728,234,846 = 8,198,877,673,814 : x - Step 2: Convert to fraction form
13,145,844,472,451/18,133,728,234,846 = 8,198,877,673,814/x - Step 3: Cross multiply
13,145,844,472,451x = 18,133,728,234,846 × 8,198,877,673,814 - Step 4: Simplify right side
13,145,844,472,451x = 148,676,219,567,689,427,736,068,096 - Step 5: Solve for x
x = 148,676,219,567,689,427,736,068,096/13,145,844,472,451 - Step 6: Final answer
x = 11,309,750,383,800.88
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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.