Finding the Fourth Proportional to 296,990,245.44, 409,840,373.70 and 164,823,566.04
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Solution
The fourth proportional to 296,990,245.44, 409,840,373.70 and 164,823,566.04 is: 227,453,099.68
Step by Step Solution
- Step 1: Write the proportion equation
296,990,245.44 : 409,840,373.70 = 164,823,566.04 : x - Step 2: Convert to fraction form
296,990,245.44/409,840,373.70 = 164,823,566.04/x - Step 3: Cross multiply
296,990,245.44x = 409,840,373.70 × 164,823,566.04 - Step 4: Simplify right side
296,990,245.44x = 67,551,351,900,400,224 - Step 5: Solve for x
x = 67,551,351,900,400,224/296,990,245.44 - Step 6: Final answer
x = 227,453,099.68
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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.