Finding the Fourth Proportional to 1,294,098,081, 1,941,147,121.50 and 432,455,073
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Solution
The fourth proportional to 1,294,098,081, 1,941,147,121.50 and 432,455,073 is: 648,682,609.50
Step by Step Solution
- Step 1: Write the proportion equation
1,294,098,081 : 1,941,147,121.50 = 432,455,073 : x - Step 2: Convert to fraction form
1,294,098,081/1,941,147,121.50 = 432,455,073/x - Step 3: Cross multiply
1,294,098,081x = 1,941,147,121.50 × 432,455,073 - Step 4: Simplify right side
1,294,098,081x = 839,458,920,132,022,400 - Step 5: Solve for x
x = 839,458,920,132,022,400/1,294,098,081 - Step 6: Final answer
x = 648,682,609.50
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1.5x scale
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.