Finding the Fourth Proportional to 56,987,749,635,628, 78,638,778,578,048 and 31,982,380,367,706
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Solution
The fourth proportional to 56,987,749,635,628, 78,638,778,578,048 and 31,982,380,367,706 is: 44,133,262,748,851.59
Step by Step Solution
- Step 1: Write the proportion equation
56,987,749,635,628 : 78,638,778,578,048 = 31,982,380,367,706 : x - Step 2: Convert to fraction form
56,987,749,635,628/78,638,778,578,048 = 31,982,380,367,706/x - Step 3: Cross multiply
56,987,749,635,628x = 78,638,778,578,048 × 31,982,380,367,706 - Step 4: Simplify right side
56,987,749,635,628x = 2,515,055,328,134,941,730,645,475,328 - Step 5: Solve for x
x = 2,515,055,328,134,941,730,645,475,328/56,987,749,635,628 - Step 6: Final answer
x = 44,133,262,748,851.59
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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.