Finding the Fourth Proportional to 296,412,676.48, 409,051,895.16 and 164,255,880.43
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Solution
The fourth proportional to 296,412,676.48, 409,051,895.16 and 164,255,880.43 is: 226,674,445.84
Step by Step Solution
- Step 1: Write the proportion equation
296,412,676.48 : 409,051,895.16 = 164,255,880.43 : x - Step 2: Convert to fraction form
296,412,676.48/409,051,895.16 = 164,255,880.43/x - Step 3: Cross multiply
296,412,676.48x = 409,051,895.16 × 164,255,880.43 - Step 4: Simplify right side
296,412,676.48x = 67,189,179,181,065,864 - Step 5: Solve for x
x = 67,189,179,181,065,864/296,412,676.48 - Step 6: Final answer
x = 226,674,445.84
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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.