Finding the Fourth Proportional to 77,074,801,337.88, 115,617,774,143.70 and 32,261,227,674.84
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Solution
The fourth proportional to 77,074,801,337.88, 115,617,774,143.70 and 32,261,227,674.84 is: 48,394,173,843.62
Step by Step Solution
- Step 1: Write the proportion equation
77,074,801,337.88 : 115,617,774,143.70 = 32,261,227,674.84 : x - Step 2: Convert to fraction form
77,074,801,337.88/115,617,774,143.70 = 32,261,227,674.84/x - Step 3: Cross multiply
77,074,801,337.88x = 115,617,774,143.70 × 32,261,227,674.84 - Step 4: Simplify right side
77,074,801,337.88x = 3,729,971,334,908,135,079,936 - Step 5: Solve for x
x = 3,729,971,334,908,135,079,936/77,074,801,337.88 - Step 6: Final answer
x = 48,394,173,843.62
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1.5x scale
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.