Finding the Fourth Proportional to 216,729,005,516.43, 299,018,552,058.83 and 125,244,227,431.68
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Solution
The fourth proportional to 216,729,005,516.43, 299,018,552,058.83 and 125,244,227,431.68 is: 172,798,040,811.89
Step by Step Solution
- Step 1: Write the proportion equation
216,729,005,516.43 : 299,018,552,058.83 = 125,244,227,431.68 : x - Step 2: Convert to fraction form
216,729,005,516.43/299,018,552,058.83 = 125,244,227,431.68/x - Step 3: Cross multiply
216,729,005,516.43x = 299,018,552,058.83 × 125,244,227,431.68 - Step 4: Simplify right side
216,729,005,516.43x = 37,450,347,540,347,751,497,728 - Step 5: Solve for x
x = 37,450,347,540,347,751,497,728/216,729,005,516.43 - Step 6: Final answer
x = 172,798,040,811.89
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1.5x scale
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.