Finding the Fourth Proportional to 34,598,836,821,834, 47,746,442,095,816 and 18,778,182,897,762
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Solution
The fourth proportional to 34,598,836,821,834, 47,746,442,095,816 and 18,778,182,897,762 is: 25,913,918,060,587.26
Step by Step Solution
- Step 1: Write the proportion equation
34,598,836,821,834 : 47,746,442,095,816 = 18,778,182,897,762 : x - Step 2: Convert to fraction form
34,598,836,821,834/47,746,442,095,816 = 18,778,182,897,762/x - Step 3: Cross multiply
34,598,836,821,834x = 47,746,442,095,816 × 18,778,182,897,762 - Step 4: Simplify right side
34,598,836,821,834x = 896,591,422,392,635,574,861,168,640 - Step 5: Solve for x
x = 896,591,422,392,635,574,861,168,640/34,598,836,821,834 - Step 6: Final answer
x = 25,913,918,060,587.26
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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.