Finding the Fourth Proportional to 260,004,597,767.36, 358,809,253,734.86 and 144,263,453,079.68
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Solution
The fourth proportional to 260,004,597,767.36, 358,809,253,734.86 and 144,263,453,079.68 is: 199,085,179,205.37
Step by Step Solution
- Step 1: Write the proportion equation
260,004,597,767.36 : 358,809,253,734.86 = 144,263,453,079.68 : x - Step 2: Convert to fraction form
260,004,597,767.36/358,809,253,734.86 = 144,263,453,079.68/x - Step 3: Cross multiply
260,004,597,767.36x = 358,809,253,734.86 × 144,263,453,079.68 - Step 4: Simplify right side
260,004,597,767.36x = 51,763,061,940,733,964,451,840 - Step 5: Solve for x
x = 51,763,061,940,733,964,451,840/260,004,597,767.36 - Step 6: Final answer
x = 199,085,179,205.37
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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.