Finding the Fourth Proportional to 267,475,278,569.76, 369,104,744,144.88 and 145,540,491,850.08
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Solution
The fourth proportional to 267,475,278,569.76, 369,104,744,144.88 and 145,540,491,850.08 is: 200,839,817,026.43
Step by Step Solution
- Step 1: Write the proportion equation
267,475,278,569.76 : 369,104,744,144.88 = 145,540,491,850.08 : x - Step 2: Convert to fraction form
267,475,278,569.76/369,104,744,144.88 = 145,540,491,850.08/x - Step 3: Cross multiply
267,475,278,569.76x = 369,104,744,144.88 × 145,540,491,850.08 - Step 4: Simplify right side
267,475,278,569.76x = 53,719,686,007,043,764,781,056 - Step 5: Solve for x
x = 53,719,686,007,043,764,781,056/267,475,278,569.76 - Step 6: Final answer
x = 200,839,817,026.43
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1.5x scale
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.