Finding the Fourth Proportional to 10,344,046,753,842, 14,268,058,418,638 and 6,634,387,196,122
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Solution
The fourth proportional to 10,344,046,753,842, 14,268,058,418,638 and 6,634,387,196,122 is: 9,151,140,393,963.71
Step by Step Solution
- Step 1: Write the proportion equation
10,344,046,753,842 : 14,268,058,418,638 = 6,634,387,196,122 : x - Step 2: Convert to fraction form
10,344,046,753,842/14,268,058,418,638 = 6,634,387,196,122/x - Step 3: Cross multiply
10,344,046,753,842x = 14,268,058,418,638 × 6,634,387,196,122 - Step 4: Simplify right side
10,344,046,753,842x = 94,659,824,086,132,665,761,136,640 - Step 5: Solve for x
x = 94,659,824,086,132,665,761,136,640/10,344,046,753,842 - Step 6: Final answer
x = 9,151,140,393,963.71
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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.