Finding the Fourth Proportional to 37,296,867,001,641, 51,466,222,402,515 and 20,629,481,660,180
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Solution
The fourth proportional to 37,296,867,001,641, 51,466,222,402,515 and 20,629,481,660,180 is: 28,466,774,196,468.41
Step by Step Solution
- Step 1: Write the proportion equation
37,296,867,001,641 : 51,466,222,402,515 = 20,629,481,660,180 : x - Step 2: Convert to fraction form
37,296,867,001,641/51,466,222,402,515 = 20,629,481,660,180/x - Step 3: Cross multiply
37,296,867,001,641x = 51,466,222,402,515 × 20,629,481,660,180 - Step 4: Simplify right side
37,296,867,001,641x = 1,061,721,491,171,428,197,988,302,848 - Step 5: Solve for x
x = 1,061,721,491,171,428,197,988,302,848/37,296,867,001,641 - Step 6: Final answer
x = 28,466,774,196,468.41
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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.