Finding the Fourth Proportional to 599,207,098,161.12, 826,995,328,327.20 and 471,707,983,782.56
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Solution
The fourth proportional to 599,207,098,161.12, 826,995,328,327.20 and 471,707,983,782.56 is: 651,027,499,707.50
Step by Step Solution
- Step 1: Write the proportion equation
599,207,098,161.12 : 826,995,328,327.20 = 471,707,983,782.56 : x - Step 2: Convert to fraction form
599,207,098,161.12/826,995,328,327.20 = 471,707,983,782.56/x - Step 3: Cross multiply
599,207,098,161.12x = 826,995,328,327.20 × 471,707,983,782.56 - Step 4: Simplify right side
599,207,098,161.12x = 390,100,298,922,819,728,703,488 - Step 5: Solve for x
x = 390,100,298,922,819,728,703,488/599,207,098,161.12 - Step 6: Final answer
x = 651,027,499,707.50
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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.