Finding the Fourth Proportional to 2,635,346,040,356, 3,636,577,949,982.80 and 1,478,995,749,112.90
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Solution
The fourth proportional to 2,635,346,040,356, 3,636,577,949,982.80 and 1,478,995,749,112.90 is: 2,040,902,123,280.82
Step by Step Solution
- Step 1: Write the proportion equation
2,635,346,040,356 : 3,636,577,949,982.80 = 1,478,995,749,112.90 : x - Step 2: Convert to fraction form
2,635,346,040,356/3,636,577,949,982.80 = 1,478,995,749,112.90/x - Step 3: Cross multiply
2,635,346,040,356x = 3,636,577,949,982.80 × 1,478,995,749,112.90 - Step 4: Simplify right side
2,635,346,040,356x = 5,378,483,329,342,265,104,531,456 - Step 5: Solve for x
x = 5,378,483,329,342,265,104,531,456/2,635,346,040,356 - Step 6: Final answer
x = 2,040,902,123,280.82
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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.