Finding the Fourth Proportional to 17,821,964,043,884, 26,732,912,674,010 and 5,584,311,293,706
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Solution
The fourth proportional to 17,821,964,043,884, 26,732,912,674,010 and 5,584,311,293,706 is: 8,376,456,477,610.32
Step by Step Solution
- Step 1: Write the proportion equation
17,821,964,043,884 : 26,732,912,674,010 = 5,584,311,293,706 : x - Step 2: Convert to fraction form
17,821,964,043,884/26,732,912,674,010 = 5,584,311,293,706/x - Step 3: Cross multiply
17,821,964,043,884x = 26,732,912,674,010 × 5,584,311,293,706 - Step 4: Simplify right side
17,821,964,043,884x = 149,284,906,159,130,307,467,411,456 - Step 5: Solve for x
x = 149,284,906,159,130,307,467,411,456/17,821,964,043,884 - Step 6: Final answer
x = 8,376,456,477,610.32
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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.