Finding the Fourth Proportional to 2,635,346,040,351, 3,636,577,949,975.70 and 1,478,995,749,107.90
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Solution
The fourth proportional to 2,635,346,040,351, 3,636,577,949,975.70 and 1,478,995,749,107.90 is: 2,040,902,123,273.81
Step by Step Solution
- Step 1: Write the proportion equation
2,635,346,040,351 : 3,636,577,949,975.70 = 1,478,995,749,107.90 : x - Step 2: Convert to fraction form
2,635,346,040,351/3,636,577,949,975.70 = 1,478,995,749,107.90/x - Step 3: Cross multiply
2,635,346,040,351x = 3,636,577,949,975.70 × 1,478,995,749,107.90 - Step 4: Simplify right side
2,635,346,040,351x = 5,378,483,329,313,581,165,445,120 - Step 5: Solve for x
x = 5,378,483,329,313,581,165,445,120/2,635,346,040,351 - Step 6: Final answer
x = 2,040,902,123,273.81
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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.