Finding the Fourth Proportional to 1,847,246,519.76, 2,548,233,723.12 and 1,142,173,116.24
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Solution
The fourth proportional to 1,847,246,519.76, 2,548,233,723.12 and 1,142,173,116.24 is: 1,575,601,318.67
Step by Step Solution
- Step 1: Write the proportion equation
1,847,246,519.76 : 2,548,233,723.12 = 1,142,173,116.24 : x - Step 2: Convert to fraction form
1,847,246,519.76/2,548,233,723.12 = 1,142,173,116.24/x - Step 3: Cross multiply
1,847,246,519.76x = 2,548,233,723.12 × 1,142,173,116.24 - Step 4: Simplify right side
1,847,246,519.76x = 2,910,524,052,443,827,712 - Step 5: Solve for x
x = 2,910,524,052,443,827,712/1,847,246,519.76 - Step 6: Final answer
x = 1,575,601,318.67
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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.