Finding the Fourth Proportional to 7,524,940,027.74, 10,385,078,913.70 and 4,138,446,146
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Solution
The fourth proportional to 7,524,940,027.74, 10,385,078,913.70 and 4,138,446,146 is: 5,711,419,579.14
Step by Step Solution
- Step 1: Write the proportion equation
7,524,940,027.74 : 10,385,078,913.70 = 4,138,446,146 : x - Step 2: Convert to fraction form
7,524,940,027.74/10,385,078,913.70 = 4,138,446,146/x - Step 3: Cross multiply
7,524,940,027.74x = 10,385,078,913.70 × 4,138,446,146 - Step 4: Simplify right side
7,524,940,027.74x = 42,978,089,806,307,631,104 - Step 5: Solve for x
x = 42,978,089,806,307,631,104/7,524,940,027.74 - Step 6: Final answer
x = 5,711,419,579.14
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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.