Finding the Fourth Proportional to 2,034,911,942.70, 3,052,591,862.85 and 742,727,366.70
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Solution
The fourth proportional to 2,034,911,942.70, 3,052,591,862.85 and 742,727,366.70 is: 1,114,172,789.66
Step by Step Solution
- Step 1: Write the proportion equation
2,034,911,942.70 : 3,052,591,862.85 = 742,727,366.70 : x - Step 2: Convert to fraction form
2,034,911,942.70/3,052,591,862.85 = 742,727,366.70/x - Step 3: Cross multiply
2,034,911,942.70x = 3,052,591,862.85 × 742,727,366.70 - Step 4: Simplify right side
2,034,911,942.70x = 2,267,243,515,904,428,032 - Step 5: Solve for x
x = 2,267,243,515,904,428,032/2,034,911,942.70 - Step 6: Final answer
x = 1,114,172,789.66
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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.