Finding the Fourth Proportional to 6,144,625,462.63, 9,213,205,857.34 and 2,409,442,050.64
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Solution
The fourth proportional to 6,144,625,462.63, 9,213,205,857.34 and 2,409,442,050.64 is: 3,612,699,545.14
Step by Step Solution
- Step 1: Write the proportion equation
6,144,625,462.63 : 9,213,205,857.34 = 2,409,442,050.64 : x - Step 2: Convert to fraction form
6,144,625,462.63/9,213,205,857.34 = 2,409,442,050.64/x - Step 3: Cross multiply
6,144,625,462.63x = 9,213,205,857.34 × 2,409,442,050.64 - Step 4: Simplify right side
6,144,625,462.63x = 22,198,685,613,877,747,712 - Step 5: Solve for x
x = 22,198,685,613,877,747,712/6,144,625,462.63 - Step 6: Final answer
x = 3,612,699,545.14
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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.