Finding the Fourth Proportional to 204,449,299,799.95, 306,680,197,356.84 and 70,141,905,936.28
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Solution
The fourth proportional to 204,449,299,799.95, 306,680,197,356.84 and 70,141,905,936.28 is: 105,215,002,333.45
Step by Step Solution
- Step 1: Write the proportion equation
204,449,299,799.95 : 306,680,197,356.84 = 70,141,905,936.28 : x - Step 2: Convert to fraction form
204,449,299,799.95/306,680,197,356.84 = 70,141,905,936.28/x - Step 3: Cross multiply
204,449,299,799.95x = 306,680,197,356.84 × 70,141,905,936.28 - Step 4: Simplify right side
204,449,299,799.95x = 21,511,133,555,523,261,038,592 - Step 5: Solve for x
x = 21,511,133,555,523,261,038,592/204,449,299,799.95 - Step 6: Final answer
x = 105,215,002,333.45
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.