Finding the Fourth Proportional to 2,498,170,726,310, 3,446,206,826,781 and 1,631,582,765,207.40
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Solution
The fourth proportional to 2,498,170,726,310, 3,446,206,826,781 and 1,631,582,765,207.40 is: 2,250,755,564,741.27
Step by Step Solution
- Step 1: Write the proportion equation
2,498,170,726,310 : 3,446,206,826,781 = 1,631,582,765,207.40 : x - Step 2: Convert to fraction form
2,498,170,726,310/3,446,206,826,781 = 1,631,582,765,207.40/x - Step 3: Cross multiply
2,498,170,726,310x = 3,446,206,826,781 × 1,631,582,765,207.40 - Step 4: Simplify right side
2,498,170,726,310x = 5,622,771,663,915,963,281,047,552 - Step 5: Solve for x
x = 5,622,771,663,915,963,281,047,552/2,498,170,726,310 - Step 6: Final answer
x = 2,250,755,564,741.27
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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.