Finding the Fourth Proportional to 9,212,190,386,578.20, 12,713,222,351,660 and 5,101,516,742,324.10
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Solution
The fourth proportional to 9,212,190,386,578.20, 12,713,222,351,660 and 5,101,516,742,324.10 is: 7,040,314,404,528.17
Step by Step Solution
- Step 1: Write the proportion equation
9,212,190,386,578.20 : 12,713,222,351,660 = 5,101,516,742,324.10 : x - Step 2: Convert to fraction form
9,212,190,386,578.20/12,713,222,351,660 = 5,101,516,742,324.10/x - Step 3: Cross multiply
9,212,190,386,578.20x = 12,713,222,351,660 × 5,101,516,742,324.10 - Step 4: Simplify right side
9,212,190,386,578.20x = 64,856,716,675,882,455,622,746,112 - Step 5: Solve for x
x = 64,856,716,675,882,455,622,746,112/9,212,190,386,578.20 - Step 6: Final answer
x = 7,040,314,404,528.17
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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.