Finding the Fourth Proportional to 75,825,278,081.17, 104,588,499,582.99 and 48,762,767,284.81
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Solution
The fourth proportional to 75,825,278,081.17, 104,588,499,582.99 and 48,762,767,284.81 is: 67,260,217,105.61
Step by Step Solution
- Step 1: Write the proportion equation
75,825,278,081.17 : 104,588,499,582.99 = 48,762,767,284.81 : x - Step 2: Convert to fraction form
75,825,278,081.17/104,588,499,582.99 = 48,762,767,284.81/x - Step 3: Cross multiply
75,825,278,081.17x = 104,588,499,582.99 × 48,762,767,284.81 - Step 4: Simplify right side
75,825,278,081.17x = 5,100,024,665,832,789,377,024 - Step 5: Solve for x
x = 5,100,024,665,832,789,377,024/75,825,278,081.17 - Step 6: Final answer
x = 67,260,217,105.61
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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.