Finding the Fourth Proportional to 296,412,059.46, 409,051,079.07 and 164,255,262.99
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Solution
The fourth proportional to 296,412,059.46, 409,051,079.07 and 164,255,262.99 is: 226,673,613.39
Step by Step Solution
- Step 1: Write the proportion equation
296,412,059.46 : 409,051,079.07 = 164,255,262.99 : x - Step 2: Convert to fraction form
296,412,059.46/409,051,079.07 = 164,255,262.99/x - Step 3: Cross multiply
296,412,059.46x = 409,051,079.07 × 164,255,262.99 - Step 4: Simplify right side
296,412,059.46x = 67,188,792,568,986,136 - Step 5: Solve for x
x = 67,188,792,568,986,136/296,412,059.46 - Step 6: Final answer
x = 226,673,613.39
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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.