Finding the Fourth Proportional to 14,162,102,424, 19,546,259,549.76 and 8,446,753,212.48
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Solution
The fourth proportional to 14,162,102,424, 19,546,259,549.76 and 8,446,753,212.48 is: 11,658,045,232.33
Step by Step Solution
- Step 1: Write the proportion equation
14,162,102,424 : 19,546,259,549.76 = 8,446,753,212.48 : x - Step 2: Convert to fraction form
14,162,102,424/19,546,259,549.76 = 8,446,753,212.48/x - Step 3: Cross multiply
14,162,102,424x = 19,546,259,549.76 × 8,446,753,212.48 - Step 4: Simplify right side
14,162,102,424x = 165,102,430,643,903,135,744 - Step 5: Solve for x
x = 165,102,430,643,903,135,744/14,162,102,424 - Step 6: Final answer
x = 11,658,045,232.33
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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.