Finding the Fourth Proportional to 8,006,915,968.41, 11,049,543,860.76 and 4,438,613,832.42
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Solution
The fourth proportional to 8,006,915,968.41, 11,049,543,860.76 and 4,438,613,832.42 is: 6,125,286,991.37
Step by Step Solution
- Step 1: Write the proportion equation
8,006,915,968.41 : 11,049,543,860.76 = 4,438,613,832.42 : x - Step 2: Convert to fraction form
8,006,915,968.41/11,049,543,860.76 = 4,438,613,832.42/x - Step 3: Cross multiply
8,006,915,968.41x = 11,049,543,860.76 × 4,438,613,832.42 - Step 4: Simplify right side
8,006,915,968.41x = 49,044,658,222,300,831,744 - Step 5: Solve for x
x = 49,044,658,222,300,831,744/8,006,915,968.41 - Step 6: Final answer
x = 6,125,286,991.37
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1.5x scale
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.