Finding the Fourth Proportional to 31,980,078,725,431, 44,132,508,641,095 and 18,293,287,690,041
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Solution
The fourth proportional to 31,980,078,725,431, 44,132,508,641,095 and 18,293,287,690,041 is: 25,244,737,012,256.71
Step by Step Solution
- Step 1: Write the proportion equation
31,980,078,725,431 : 44,132,508,641,095 = 18,293,287,690,041 : x - Step 2: Convert to fraction form
31,980,078,725,431/44,132,508,641,095 = 18,293,287,690,041/x - Step 3: Cross multiply
31,980,078,725,431x = 44,132,508,641,095 × 18,293,287,690,041 - Step 4: Simplify right side
31,980,078,725,431x = 807,328,677,054,771,255,039,754,240 - Step 5: Solve for x
x = 807,328,677,054,771,255,039,754,240/31,980,078,725,431 - Step 6: Final answer
x = 25,244,737,012,256.71
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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.