Finding the Fourth Proportional to 17,003,219,328,470, 25,504,828,992,704 and 17,003,219,328,470
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Solution
The fourth proportional to 17,003,219,328,470, 25,504,828,992,704 and 17,003,219,328,470 is: 25,504,828,992,704
Step by Step Solution
- Step 1: Write the proportion equation
17,003,219,328,470 : 25,504,828,992,704 = 17,003,219,328,470 : x - Step 2: Convert to fraction form
17,003,219,328,470/25,504,828,992,704 = 17,003,219,328,470/x - Step 3: Cross multiply
17,003,219,328,470x = 25,504,828,992,704 × 17,003,219,328,470 - Step 4: Simplify right side
17,003,219,328,470x = 433,664,201,298,066,722,374,287,360 - Step 5: Solve for x
x = 433,664,201,298,066,722,374,287,360/17,003,219,328,470 - Step 6: Final answer
x = 25,504,828,992,704
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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.