Finding the Fourth Proportional to 9,546,729,422,733, 13,176,937,845,860 and 6,217,855,438,519
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Solution
The fourth proportional to 9,546,729,422,733, 13,176,937,845,860 and 6,217,855,438,519 is: 8,582,237,017,507.53
Step by Step Solution
- Step 1: Write the proportion equation
9,546,729,422,733 : 13,176,937,845,860 = 6,217,855,438,519 : x - Step 2: Convert to fraction form
9,546,729,422,733/13,176,937,845,860 = 6,217,855,438,519/x - Step 3: Cross multiply
9,546,729,422,733x = 13,176,937,845,860 × 6,217,855,438,519 - Step 4: Simplify right side
9,546,729,422,733x = 81,932,294,647,907,444,481,589,248 - Step 5: Solve for x
x = 81,932,294,647,907,444,481,589,248/9,546,729,422,733 - Step 6: Final answer
x = 8,582,237,017,507.53
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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.