Finding the Fourth Proportional to 50,120,704,213,916, 75,181,038,625,806 and 13,403,981,168,104
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Solution
The fourth proportional to 50,120,704,213,916, 75,181,038,625,806 and 13,403,981,168,104 is: 20,105,967,019,892.92
Step by Step Solution
- Step 1: Write the proportion equation
50,120,704,213,916 : 75,181,038,625,806 = 13,403,981,168,104 : x - Step 2: Convert to fraction form
50,120,704,213,916/75,181,038,625,806 = 13,403,981,168,104/x - Step 3: Cross multiply
50,120,704,213,916x = 75,181,038,625,806 × 13,403,981,168,104 - Step 4: Simplify right side
50,120,704,213,916x = 1,007,725,225,938,803,014,326,288,384 - Step 5: Solve for x
x = 1,007,725,225,938,803,014,326,288,384/50,120,704,213,916 - Step 6: Final answer
x = 20,105,967,019,892.92
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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.