Finding the Fourth Proportional to 36,848,752,836,318, 50,852,877,386,814 and 20,406,058,259,318
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Solution
The fourth proportional to 36,848,752,836,318, 50,852,877,386,814 and 20,406,058,259,318 is: 28,161,245,598,155.53
Step by Step Solution
- Step 1: Write the proportion equation
36,848,752,836,318 : 50,852,877,386,814 = 20,406,058,259,318 : x - Step 2: Convert to fraction form
36,848,752,836,318/50,852,877,386,814 = 20,406,058,259,318/x - Step 3: Cross multiply
36,848,752,836,318x = 50,852,877,386,814 × 20,406,058,259,318 - Step 4: Simplify right side
36,848,752,836,318x = 1,037,706,778,609,281,312,499,957,760 - Step 5: Solve for x
x = 1,037,706,778,609,281,312,499,957,760/36,848,752,836,318 - Step 6: Final answer
x = 28,161,245,598,155.53
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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.