Finding the Fourth Proportional to 305,914,337,959.99, 422,163,098,851.05 and 166,868,649,831.55
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Solution
The fourth proportional to 305,914,337,959.99, 422,163,098,851.05 and 166,868,649,831.55 is: 230,279,452,685.19
Step by Step Solution
- Step 1: Write the proportion equation
305,914,337,959.99 : 422,163,098,851.05 = 166,868,649,831.55 : x - Step 2: Convert to fraction form
305,914,337,959.99/422,163,098,851.05 = 166,868,649,831.55/x - Step 3: Cross multiply
305,914,337,959.99x = 422,163,098,851.05 × 166,868,649,831.55 - Step 4: Simplify right side
305,914,337,959.99x = 70,445,786,313,977,879,330,816 - Step 5: Solve for x
x = 70,445,786,313,977,879,330,816/305,914,337,959.99 - Step 6: Final answer
x = 230,279,452,685.19
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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.