Finding the Fourth Proportional to 31,980,078,726,906, 44,132,508,643,128 and 18,293,287,691,513
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Solution
The fourth proportional to 31,980,078,726,906, 44,132,508,643,128 and 18,293,287,691,513 is: 25,244,737,014,286.64
Step by Step Solution
- Step 1: Write the proportion equation
31,980,078,726,906 : 44,132,508,643,128 = 18,293,287,691,513 : x - Step 2: Convert to fraction form
31,980,078,726,906/44,132,508,643,128 = 18,293,287,691,513/x - Step 3: Cross multiply
31,980,078,726,906x = 44,132,508,643,128 × 18,293,287,691,513 - Step 4: Simplify right side
31,980,078,726,906x = 807,328,677,156,924,543,914,213,376 - Step 5: Solve for x
x = 807,328,677,156,924,543,914,213,376/31,980,078,726,906 - Step 6: Final answer
x = 25,244,737,014,286.64
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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.