Finding the Fourth Proportional to 29,836,921,162.71, 41,174,741,742.79 and 16,288,558,320.99
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Solution
The fourth proportional to 29,836,921,162.71, 41,174,741,742.79 and 16,288,558,320.99 is: 22,478,096,133.70
Step by Step Solution
- Step 1: Write the proportion equation
29,836,921,162.71 : 41,174,741,742.79 = 16,288,558,320.99 : x - Step 2: Convert to fraction form
29,836,921,162.71/41,174,741,742.79 = 16,288,558,320.99/x - Step 3: Cross multiply
29,836,921,162.71x = 41,174,741,742.79 × 16,288,558,320.99 - Step 4: Simplify right side
29,836,921,162.71x = 670,677,182,229,095,251,968 - Step 5: Solve for x
x = 670,677,182,229,095,251,968/29,836,921,162.71 - Step 6: Final answer
x = 22,478,096,133.70
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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.