Finding the Fourth Proportional to 16,351,074,777.16, 24,526,612,165.98 and 5,160,083,168.68
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Solution
The fourth proportional to 16,351,074,777.16, 24,526,612,165.98 and 5,160,083,168.68 is: 7,740,124,753.10
Step by Step Solution
- Step 1: Write the proportion equation
16,351,074,777.16 : 24,526,612,165.98 = 5,160,083,168.68 : x - Step 2: Convert to fraction form
16,351,074,777.16/24,526,612,165.98 = 5,160,083,168.68/x - Step 3: Cross multiply
16,351,074,777.16x = 24,526,612,165.98 × 5,160,083,168.68 - Step 4: Simplify right side
16,351,074,777.16x = 126,559,358,622,415,519,744 - Step 5: Solve for x
x = 126,559,358,622,415,519,744/16,351,074,777.16 - Step 6: Final answer
x = 7,740,124,753.10
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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.