Finding the Fourth Proportional to 271,431,332,902.42, 374,592,250,752.06 and 149,496,043,085.28
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Solution
The fourth proportional to 271,431,332,902.42, 374,592,250,752.06 and 149,496,043,085.28 is: 206,313,908,785.08
Step by Step Solution
- Step 1: Write the proportion equation
271,431,332,902.42 : 374,592,250,752.06 = 149,496,043,085.28 : x - Step 2: Convert to fraction form
271,431,332,902.42/374,592,250,752.06 = 149,496,043,085.28/x - Step 3: Cross multiply
271,431,332,902.42x = 374,592,250,752.06 × 149,496,043,085.28 - Step 4: Simplify right side
271,431,332,902.42x = 56,000,059,257,841,973,723,136 - Step 5: Solve for x
x = 56,000,059,257,841,973,723,136/271,431,332,902.42 - Step 6: Final answer
x = 206,313,908,785.08
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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.