Finding the Fourth Proportional to 56,987,749,635,618, 78,638,778,578,028 and 31,982,380,367,700
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Solution
The fourth proportional to 56,987,749,635,618, 78,638,778,578,028 and 31,982,380,367,700 is: 44,133,262,748,839.82
Step by Step Solution
- Step 1: Write the proportion equation
56,987,749,635,618 : 78,638,778,578,028 = 31,982,380,367,700 : x - Step 2: Convert to fraction form
56,987,749,635,618/78,638,778,578,028 = 31,982,380,367,700/x - Step 3: Cross multiply
56,987,749,635,618x = 78,638,778,578,028 × 31,982,380,367,700 - Step 4: Simplify right side
56,987,749,635,618x = 2,515,055,328,133,830,124,389,793,792 - Step 5: Solve for x
x = 2,515,055,328,133,830,124,389,793,792/56,987,749,635,618 - Step 6: Final answer
x = 44,133,262,748,839.82
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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.