Finding the Fourth Proportional to 13,145,844,472,461, 18,133,728,234,861 and 8,198,877,673,823.40
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Solution
The fourth proportional to 13,145,844,472,461, 18,133,728,234,861 and 8,198,877,673,823.40 is: 11,309,750,383,814.60
Step by Step Solution
- Step 1: Write the proportion equation
13,145,844,472,461 : 18,133,728,234,861 = 8,198,877,673,823.40 : x - Step 2: Convert to fraction form
13,145,844,472,461/18,133,728,234,861 = 8,198,877,673,823.40/x - Step 3: Cross multiply
13,145,844,472,461x = 18,133,728,234,861 × 8,198,877,673,823.40 - Step 4: Simplify right side
13,145,844,472,461x = 148,676,219,567,982,877,081,600,000 - Step 5: Solve for x
x = 148,676,219,567,982,877,081,600,000/13,145,844,472,461 - Step 6: Final answer
x = 11,309,750,383,814.60
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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.