Finding the Fourth Proportional to 2,000,201,598,696.20, 2,760,278,205,933.20 and 1,133,106,376,864
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Solution
The fourth proportional to 2,000,201,598,696.20, 2,760,278,205,933.20 and 1,133,106,376,864 is: 1,563,686,799,920.75
Step by Step Solution
- Step 1: Write the proportion equation
2,000,201,598,696.20 : 2,760,278,205,933.20 = 1,133,106,376,864 : x - Step 2: Convert to fraction form
2,000,201,598,696.20/2,760,278,205,933.20 = 1,133,106,376,864/x - Step 3: Cross multiply
2,000,201,598,696.20x = 2,760,278,205,933.20 × 1,133,106,376,864 - Step 4: Simplify right side
2,000,201,598,696.20x = 3,127,688,837,061,630,396,203,008 - Step 5: Solve for x
x = 3,127,688,837,061,630,396,203,008/2,000,201,598,696.20 - Step 6: Final answer
x = 1,563,686,799,920.75
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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.