Finding the Fourth Proportional to 296,412,562.67, 409,051,738.16 and 164,255,766.68
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Solution
The fourth proportional to 296,412,562.67, 409,051,738.16 and 164,255,766.68 is: 226,674,288.89
Step by Step Solution
- Step 1: Write the proportion equation
296,412,562.67 : 409,051,738.16 = 164,255,766.68 : x - Step 2: Convert to fraction form
296,412,562.67/409,051,738.16 = 164,255,766.68/x - Step 3: Cross multiply
296,412,562.67x = 409,051,738.16 × 164,255,766.68 - Step 4: Simplify right side
296,412,562.67x = 67,189,106,862,436,128 - Step 5: Solve for x
x = 67,189,106,862,436,128/296,412,562.67 - Step 6: Final answer
x = 226,674,288.89
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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.