Finding the Fourth Proportional to 30,858,478,654,877, 42,581,932,656,147 and 17,867,596,769,372
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Solution
The fourth proportional to 30,858,478,654,877, 42,581,932,656,147 and 17,867,596,769,372 is: 24,655,680,886,599.46
Step by Step Solution
- Step 1: Write the proportion equation
30,858,478,654,877 : 42,581,932,656,147 = 17,867,596,769,372 : x - Step 2: Convert to fraction form
30,858,478,654,877/42,581,932,656,147 = 17,867,596,769,372/x - Step 3: Cross multiply
30,858,478,654,877x = 42,581,932,656,147 × 17,867,596,769,372 - Step 4: Simplify right side
30,858,478,654,877x = 760,836,802,360,588,191,058,100,224 - Step 5: Solve for x
x = 760,836,802,360,588,191,058,100,224/30,858,478,654,877 - Step 6: Final answer
x = 24,655,680,886,599.46
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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.