Finding the Fourth Proportional to 31,045,667,274,008, 42,840,145,701,468 and 17,171,845,121,158
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Solution
The fourth proportional to 31,045,667,274,008, 42,840,145,701,468 and 17,171,845,121,158 is: 23,695,555,984,050.18
Step by Step Solution
- Step 1: Write the proportion equation
31,045,667,274,008 : 42,840,145,701,468 = 17,171,845,121,158 : x - Step 2: Convert to fraction form
31,045,667,274,008/42,840,145,701,468 = 17,171,845,121,158/x - Step 3: Cross multiply
31,045,667,274,008x = 42,840,145,701,468 × 17,171,845,121,158 - Step 4: Simplify right side
31,045,667,274,008x = 735,644,346,953,451,173,738,184,704 - Step 5: Solve for x
x = 735,644,346,953,451,173,738,184,704/31,045,667,274,008 - Step 6: Final answer
x = 23,695,555,984,050.18
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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.