Finding the Fourth Proportional to 60,687,684,985,744, 91,049,409,745,192 and 24,447,448,077,464
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Solution
The fourth proportional to 60,687,684,985,744, 91,049,409,745,192 and 24,447,448,077,464 is: 36,678,375,814,668.38
Step by Step Solution
- Step 1: Write the proportion equation
60,687,684,985,744 : 91,049,409,745,192 = 24,447,448,077,464 : x - Step 2: Convert to fraction form
60,687,684,985,744/91,049,409,745,192 = 24,447,448,077,464/x - Step 3: Cross multiply
60,687,684,985,744x = 91,049,409,745,192 × 24,447,448,077,464 - Step 4: Simplify right side
60,687,684,985,744x = 2,225,925,717,229,326,009,731,383,296 - Step 5: Solve for x
x = 2,225,925,717,229,326,009,731,383,296/60,687,684,985,744 - Step 6: Final answer
x = 36,678,375,814,668.38
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.