Finding the Fourth Proportional to 274,489,726,729.70, 411,734,590,094.55 and 274,489,726,729.70
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Solution
The fourth proportional to 274,489,726,729.70, 411,734,590,094.55 and 274,489,726,729.70 is: 411,734,590,094.55
Step by Step Solution
- Step 1: Write the proportion equation
274,489,726,729.70 : 411,734,590,094.55 = 274,489,726,729.70 : x - Step 2: Convert to fraction form
274,489,726,729.70/411,734,590,094.55 = 274,489,726,729.70/x - Step 3: Cross multiply
274,489,726,729.70x = 411,734,590,094.55 × 274,489,726,729.70 - Step 4: Simplify right side
274,489,726,729.70x = 113,016,915,120,218,074,775,552 - Step 5: Solve for x
x = 113,016,915,120,218,074,775,552/274,489,726,729.70 - Step 6: Final answer
x = 411,734,590,094.55
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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.