Finding the Fourth Proportional to 31,480,665,213,042, 47,227,438,199,238 and 10,825,362,753,297
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Solution
The fourth proportional to 31,480,665,213,042, 47,227,438,199,238 and 10,825,362,753,297 is: 16,240,258,805,073.20
Step by Step Solution
- Step 1: Write the proportion equation
31,480,665,213,042 : 47,227,438,199,238 = 10,825,362,753,297 : x - Step 2: Convert to fraction form
31,480,665,213,042/47,227,438,199,238 = 10,825,362,753,297/x - Step 3: Cross multiply
31,480,665,213,042x = 47,227,438,199,238 × 10,825,362,753,297 - Step 4: Simplify right side
31,480,665,213,042x = 511,254,150,415,666,954,933,108,736 - Step 5: Solve for x
x = 511,254,150,415,666,954,933,108,736/31,480,665,213,042 - Step 6: Final answer
x = 16,240,258,805,073.20
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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.