Finding the Fourth Proportional to 296,713,556.32, 409,489,219.92 and 164,597,147.68
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Solution
The fourth proportional to 296,713,556.32, 409,489,219.92 and 164,597,147.68 is: 227,157,661.55
Step by Step Solution
- Step 1: Write the proportion equation
296,713,556.32 : 409,489,219.92 = 164,597,147.68 : x - Step 2: Convert to fraction form
296,713,556.32/409,489,219.92 = 164,597,147.68/x - Step 3: Cross multiply
296,713,556.32x = 409,489,219.92 × 164,597,147.68 - Step 4: Simplify right side
296,713,556.32x = 67,400,757,604,540,240 - Step 5: Solve for x
x = 67,400,757,604,540,240/296,713,556.32 - Step 6: Final answer
x = 227,157,661.55
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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.