Finding the Fourth Proportional to 6,144,625,760.17, 9,213,206,303.68 and 2,409,442,348.18
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Solution
The fourth proportional to 6,144,625,760.17, 9,213,206,303.68 and 2,409,442,348.18 is: 3,612,699,991.35
Step by Step Solution
- Step 1: Write the proportion equation
6,144,625,760.17 : 9,213,206,303.68 = 2,409,442,348.18 : x - Step 2: Convert to fraction form
6,144,625,760.17/9,213,206,303.68 = 2,409,442,348.18/x - Step 3: Cross multiply
6,144,625,760.17x = 9,213,206,303.68 × 2,409,442,348.18 - Step 4: Simplify right side
6,144,625,760.17x = 22,198,689,430,605,516,800 - Step 5: Solve for x
x = 22,198,689,430,605,516,800/6,144,625,760.17 - Step 6: Final answer
x = 3,612,699,991.35
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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.