Finding the Fourth Proportional to 31,045,667,274,009, 42,840,145,701,462 and 17,171,845,121,156
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Solution
The fourth proportional to 31,045,667,274,009, 42,840,145,701,462 and 17,171,845,121,156 is: 23,695,555,984,043.34
Step by Step Solution
- Step 1: Write the proportion equation
31,045,667,274,009 : 42,840,145,701,462 = 17,171,845,121,156 : x - Step 2: Convert to fraction form
31,045,667,274,009/42,840,145,701,462 = 17,171,845,121,156/x - Step 3: Cross multiply
31,045,667,274,009x = 42,840,145,701,462 × 17,171,845,121,156 - Step 4: Simplify right side
31,045,667,274,009x = 735,644,346,953,262,470,055,067,648 - Step 5: Solve for x
x = 735,644,346,953,262,470,055,067,648/31,045,667,274,009 - Step 6: Final answer
x = 23,695,555,984,043.34
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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.