Finding the Fourth Proportional to 56,987,749,635,471, 78,638,778,577,815 and 31,982,380,367,544
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Solution
The fourth proportional to 56,987,749,635,471, 78,638,778,577,815 and 31,982,380,367,544 is: 44,133,262,748,618.86
Step by Step Solution
- Step 1: Write the proportion equation
56,987,749,635,471 : 78,638,778,577,815 = 31,982,380,367,544 : x - Step 2: Convert to fraction form
56,987,749,635,471/78,638,778,577,815 = 31,982,380,367,544/x - Step 3: Cross multiply
56,987,749,635,471x = 78,638,778,577,815 × 31,982,380,367,544 - Step 4: Simplify right side
56,987,749,635,471x = 2,515,055,328,114,750,299,112,996,864 - Step 5: Solve for x
x = 2,515,055,328,114,750,299,112,996,864/56,987,749,635,471 - Step 6: Final answer
x = 44,133,262,748,618.86
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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.