Finding the Fourth Proportional to 27,704,611,408.96, 41,556,334,890.24 and 6,743,161,192.96
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Solution
The fourth proportional to 27,704,611,408.96, 41,556,334,890.24 and 6,743,161,192.96 is: 10,114,600,079.28
Step by Step Solution
- Step 1: Write the proportion equation
27,704,611,408.96 : 41,556,334,890.24 = 6,743,161,192.96 : x - Step 2: Convert to fraction form
27,704,611,408.96/41,556,334,890.24 = 6,743,161,192.96/x - Step 3: Cross multiply
27,704,611,408.96x = 41,556,334,890.24 × 6,743,161,192.96 - Step 4: Simplify right side
27,704,611,408.96x = 280,221,064,753,516,019,712 - Step 5: Solve for x
x = 280,221,064,753,516,019,712/27,704,611,408.96 - Step 6: Final answer
x = 10,114,600,079.28
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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.