Finding the Fourth Proportional to 30,703,322,910,146, 42,345,879,879,738 and 26,991,603,060,741
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Solution
The fourth proportional to 30,703,322,910,146, 42,345,879,879,738 and 26,991,603,060,741 is: 37,226,693,160,107.59
Step by Step Solution
- Step 1: Write the proportion equation
30,703,322,910,146 : 42,345,879,879,738 = 26,991,603,060,741 : x - Step 2: Convert to fraction form
30,703,322,910,146/42,345,879,879,738 = 26,991,603,060,741/x - Step 3: Cross multiply
30,703,322,910,146x = 42,345,879,879,738 × 26,991,603,060,741 - Step 4: Simplify right side
30,703,322,910,146x = 1,142,983,180,971,706,974,205,902,848 - Step 5: Solve for x
x = 1,142,983,180,971,706,974,205,902,848/30,703,322,910,146 - Step 6: Final answer
x = 37,226,693,160,107.59
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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.