Finding the Fourth Proportional to 269,648,092,274.44, 403,909,288,838.48 and 161,740,146,121.15
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Solution
The fourth proportional to 269,648,092,274.44, 403,909,288,838.48 and 161,740,146,121.15 is: 242,272,611,110.99
Step by Step Solution
- Step 1: Write the proportion equation
269,648,092,274.44 : 403,909,288,838.48 = 161,740,146,121.15 : x - Step 2: Convert to fraction form
269,648,092,274.44/403,909,288,838.48 = 161,740,146,121.15/x - Step 3: Cross multiply
269,648,092,274.44x = 403,909,288,838.48 × 161,740,146,121.15 - Step 4: Simplify right side
269,648,092,274.44x = 65,328,347,396,425,526,542,336 - Step 5: Solve for x
x = 65,328,347,396,425,526,542,336/269,648,092,274.44 - Step 6: Final answer
x = 242,272,611,110.99
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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.