Finding the Fourth Proportional to 985,647,924,419.10, 1,360,202,122,081.90 and 546,192,649,227.96
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Solution
The fourth proportional to 985,647,924,419.10, 1,360,202,122,081.90 and 546,192,649,227.96 is: 753,750,281,555.41
Step by Step Solution
- Step 1: Write the proportion equation
985,647,924,419.10 : 1,360,202,122,081.90 = 546,192,649,227.96 : x - Step 2: Convert to fraction form
985,647,924,419.10/1,360,202,122,081.90 = 546,192,649,227.96/x - Step 3: Cross multiply
985,647,924,419.10x = 1,360,202,122,081.90 × 546,192,649,227.96 - Step 4: Simplify right side
985,647,924,419.10x = 742,932,400,545,406,052,728,832 - Step 5: Solve for x
x = 742,932,400,545,406,052,728,832/985,647,924,419.10 - Step 6: Final answer
x = 753,750,281,555.41
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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.