Finding the Fourth Proportional to 17,743,947,461,204, 24,486,628,925,242 and 9,940,145,396,834
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Solution
The fourth proportional to 17,743,947,461,204, 24,486,628,925,242 and 9,940,145,396,834 is: 13,717,390,244,048.37
Step by Step Solution
- Step 1: Write the proportion equation
17,743,947,461,204 : 24,486,628,925,242 = 9,940,145,396,834 : x - Step 2: Convert to fraction form
17,743,947,461,204/24,486,628,925,242 = 9,940,145,396,834/x - Step 3: Cross multiply
17,743,947,461,204x = 24,486,628,925,242 × 9,940,145,396,834 - Step 4: Simplify right side
17,743,947,461,204x = 243,400,651,795,226,533,541,445,632 - Step 5: Solve for x
x = 243,400,651,795,226,533,541,445,632/17,743,947,461,204 - Step 6: Final answer
x = 13,717,390,244,048.37
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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.