Finding the Fourth Proportional to 192,728,489,306.08, 265,971,693,647.11 and 105,924,135,855.13
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Solution
The fourth proportional to 192,728,489,306.08, 265,971,693,647.11 and 105,924,135,855.13 is: 146,178,813,069.79
Step by Step Solution
- Step 1: Write the proportion equation
192,728,489,306.08 : 265,971,693,647.11 = 105,924,135,855.13 : x - Step 2: Convert to fraction form
192,728,489,306.08/265,971,693,647.11 = 105,924,135,855.13/x - Step 3: Cross multiply
192,728,489,306.08x = 265,971,693,647.11 × 105,924,135,855.13 - Step 4: Simplify right side
192,728,489,306.08x = 28,172,821,811,495,495,008,256 - Step 5: Solve for x
x = 28,172,821,811,495,495,008,256/192,728,489,306.08 - Step 6: Final answer
x = 146,178,813,069.79
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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.