Finding the Fourth Proportional to 582,975,281,724, 874,582,188,876.25 and 200,469,680,617.59
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Solution
The fourth proportional to 582,975,281,724, 874,582,188,876.25 and 200,469,680,617.59 is: 300,745,533,428.74
Step by Step Solution
- Step 1: Write the proportion equation
582,975,281,724 : 874,582,188,876.25 = 200,469,680,617.59 : x - Step 2: Convert to fraction form
582,975,281,724/874,582,188,876.25 = 200,469,680,617.59/x - Step 3: Cross multiply
582,975,281,724x = 874,582,188,876.25 × 200,469,680,617.59 - Step 4: Simplify right side
582,975,281,724x = 175,327,212,077,854,595,481,600 - Step 5: Solve for x
x = 175,327,212,077,854,595,481,600/582,975,281,724 - Step 6: Final answer
x = 300,745,533,428.74
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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.