Finding the Fourth Proportional to 410,292,285,629.30, 566,203,407,837.86 and 227,401,194,793.58
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Solution
The fourth proportional to 410,292,285,629.30, 566,203,407,837.86 and 227,401,194,793.58 is: 313,813,678,560.99
Step by Step Solution
- Step 1: Write the proportion equation
410,292,285,629.30 : 566,203,407,837.86 = 227,401,194,793.58 : x - Step 2: Convert to fraction form
410,292,285,629.30/566,203,407,837.86 = 227,401,194,793.58/x - Step 3: Cross multiply
410,292,285,629.30x = 566,203,407,837.86 × 227,401,194,793.58 - Step 4: Simplify right side
410,292,285,629.30x = 128,755,331,438,526,016,258,048 - Step 5: Solve for x
x = 128,755,331,438,526,016,258,048/410,292,285,629.30 - Step 6: Final answer
x = 313,813,678,560.99
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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.