Finding the Fourth Proportional to 20,049,969,852,016, 30,074,954,778,028 and 20,049,969,852,016
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Solution
The fourth proportional to 20,049,969,852,016, 30,074,954,778,028 and 20,049,969,852,016 is: 30,074,954,778,028
Step by Step Solution
- Step 1: Write the proportion equation
20,049,969,852,016 : 30,074,954,778,028 = 20,049,969,852,016 : x - Step 2: Convert to fraction form
20,049,969,852,016/30,074,954,778,028 = 20,049,969,852,016/x - Step 3: Cross multiply
20,049,969,852,016x = 30,074,954,778,028 × 20,049,969,852,016 - Step 4: Simplify right side
20,049,969,852,016x = 603,001,936,600,205,959,511,408,640 - Step 5: Solve for x
x = 603,001,936,600,205,959,511,408,640/20,049,969,852,016 - Step 6: Final answer
x = 30,074,954,778,028
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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.