Finding the Fourth Proportional to 22,987,800,339,760, 31,723,362,298,514 and 13,111,544,088,126
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Solution
The fourth proportional to 22,987,800,339,760, 31,723,362,298,514 and 13,111,544,088,126 is: 18,094,043,677,643.28
Step by Step Solution
- Step 1: Write the proportion equation
22,987,800,339,760 : 31,723,362,298,514 = 13,111,544,088,126 : x - Step 2: Convert to fraction form
22,987,800,339,760/31,723,362,298,514 = 13,111,544,088,126/x - Step 3: Cross multiply
22,987,800,339,760x = 31,723,362,298,514 × 13,111,544,088,126 - Step 4: Simplify right side
22,987,800,339,760x = 415,942,263,400,560,460,522,586,112 - Step 5: Solve for x
x = 415,942,263,400,560,460,522,586,112/22,987,800,339,760 - Step 6: Final answer
x = 18,094,043,677,643.28
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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.