Finding the Fourth Proportional to 408,935,599,076.40, 613,113,160,969.80 and 157,299,561,034.80
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Solution
The fourth proportional to 408,935,599,076.40, 613,113,160,969.80 and 157,299,561,034.80 is: 235,837,699,879.95
Step by Step Solution
- Step 1: Write the proportion equation
408,935,599,076.40 : 613,113,160,969.80 = 157,299,561,034.80 : x - Step 2: Convert to fraction form
408,935,599,076.40/613,113,160,969.80 = 157,299,561,034.80/x - Step 3: Cross multiply
408,935,599,076.40x = 613,113,160,969.80 × 157,299,561,034.80 - Step 4: Simplify right side
408,935,599,076.40x = 96,442,431,085,208,211,030,016 - Step 5: Solve for x
x = 96,442,431,085,208,211,030,016/408,935,599,076.40 - Step 6: Final answer
x = 235,837,699,879.95
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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.