Finding the Fourth Proportional to 1,523,042,553.67, 2,101,025,198.12 and 994,715,797.93
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Solution
The fourth proportional to 1,523,042,553.67, 2,101,025,198.12 and 994,715,797.93 is: 1,372,202,602.86
Step by Step Solution
- Step 1: Write the proportion equation
1,523,042,553.67 : 2,101,025,198.12 = 994,715,797.93 : x - Step 2: Convert to fraction form
1,523,042,553.67/2,101,025,198.12 = 994,715,797.93/x - Step 3: Cross multiply
1,523,042,553.67x = 2,101,025,198.12 × 994,715,797.93 - Step 4: Simplify right side
1,523,042,553.67x = 2,089,922,956,408,745,984 - Step 5: Solve for x
x = 2,089,922,956,408,745,984/1,523,042,553.67 - Step 6: Final answer
x = 1,372,202,602.86
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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.