Finding the Fourth Proportional to 7,548,269,753.40, 10,416,643,722.66 and 4,161,104,632.17
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Solution
The fourth proportional to 7,548,269,753.40, 10,416,643,722.66 and 4,161,104,632.17 is: 5,742,341,736.86
Step by Step Solution
- Step 1: Write the proportion equation
7,548,269,753.40 : 10,416,643,722.66 = 4,161,104,632.17 : x - Step 2: Convert to fraction form
7,548,269,753.40/10,416,643,722.66 = 4,161,104,632.17/x - Step 3: Cross multiply
7,548,269,753.40x = 10,416,643,722.66 × 4,161,104,632.17 - Step 4: Simplify right side
7,548,269,753.40x = 43,344,744,446,025,080,832 - Step 5: Solve for x
x = 43,344,744,446,025,080,832/7,548,269,753.40 - Step 6: Final answer
x = 5,742,341,736.86
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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.