Finding the Fourth Proportional to 51,589,022,790,168, 77,394,402,243,456 and 16,735,005,166,172
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Solution
The fourth proportional to 51,589,022,790,168, 77,394,402,243,456 and 16,735,005,166,172 is: 25,106,033,247,520.10
Step by Step Solution
- Step 1: Write the proportion equation
51,589,022,790,168 : 77,394,402,243,456 = 16,735,005,166,172 : x - Step 2: Convert to fraction form
51,589,022,790,168/77,394,402,243,456 = 16,735,005,166,172/x - Step 3: Cross multiply
51,589,022,790,168x = 77,394,402,243,456 × 16,735,005,166,172 - Step 4: Simplify right side
51,589,022,790,168x = 1,295,195,721,377,029,939,749,978,112 - Step 5: Solve for x
x = 1,295,195,721,377,029,939,749,978,112/51,589,022,790,168 - Step 6: Final answer
x = 25,106,033,247,520.10
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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.