Finding the Fourth Proportional to 4,945,767,355.84, 6,825,225,499.68 and 2,687,751,704.32
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Solution
The fourth proportional to 4,945,767,355.84, 6,825,225,499.68 and 2,687,751,704.32 is: 3,709,133,517.47
Step by Step Solution
- Step 1: Write the proportion equation
4,945,767,355.84 : 6,825,225,499.68 = 2,687,751,704.32 : x - Step 2: Convert to fraction form
4,945,767,355.84/6,825,225,499.68 = 2,687,751,704.32/x - Step 3: Cross multiply
4,945,767,355.84x = 6,825,225,499.68 × 2,687,751,704.32 - Step 4: Simplify right side
4,945,767,355.84x = 18,344,511,469,133,246,464 - Step 5: Solve for x
x = 18,344,511,469,133,246,464/4,945,767,355.84 - Step 6: Final answer
x = 3,709,133,517.47
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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.