Finding the Fourth Proportional to 31,575,183,614,524, 47,329,347,676,144 and 10,620,846,679,621
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Solution
The fourth proportional to 31,575,183,614,524, 47,329,347,676,144 and 10,620,846,679,621 is: 15,920,026,032,202.69
Step by Step Solution
- Step 1: Write the proportion equation
31,575,183,614,524 : 47,329,347,676,144 = 10,620,846,679,621 : x - Step 2: Convert to fraction form
31,575,183,614,524/47,329,347,676,144 = 10,620,846,679,621/x - Step 3: Cross multiply
31,575,183,614,524x = 47,329,347,676,144 × 10,620,846,679,621 - Step 4: Simplify right side
31,575,183,614,524x = 502,677,745,114,801,926,404,308,992 - Step 5: Solve for x
x = 502,677,745,114,801,926,404,308,992/31,575,183,614,524 - Step 6: Final answer
x = 15,920,026,032,202.69
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.