Finding the Fourth Proportional to 20,049,969,852,038, 30,074,954,778,054 and 20,049,969,852,038
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Solution
The fourth proportional to 20,049,969,852,038, 30,074,954,778,054 and 20,049,969,852,038 is: 30,074,954,778,054
Step by Step Solution
- Step 1: Write the proportion equation
20,049,969,852,038 : 30,074,954,778,054 = 20,049,969,852,038 : x - Step 2: Convert to fraction form
20,049,969,852,038/30,074,954,778,054 = 20,049,969,852,038/x - Step 3: Cross multiply
20,049,969,852,038x = 30,074,954,778,054 × 20,049,969,852,038 - Step 4: Simplify right side
20,049,969,852,038x = 603,001,936,601,388,896,583,942,144 - Step 5: Solve for x
x = 603,001,936,601,388,896,583,942,144/20,049,969,852,038 - Step 6: Final answer
x = 30,074,954,778,054
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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.