Finding the Fourth Proportional to 330,004,263,728.08, 494,653,969,110.30 and 188,208,364,754.08
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Solution
The fourth proportional to 330,004,263,728.08, 494,653,969,110.30 and 188,208,364,754.08 is: 282,111,550,904.31
Step by Step Solution
- Step 1: Write the proportion equation
330,004,263,728.08 : 494,653,969,110.30 = 188,208,364,754.08 : x - Step 2: Convert to fraction form
330,004,263,728.08/494,653,969,110.30 = 188,208,364,754.08/x - Step 3: Cross multiply
330,004,263,728.08x = 494,653,969,110.30 × 188,208,364,754.08 - Step 4: Simplify right side
330,004,263,728.08x = 93,098,014,645,364,751,073,280 - Step 5: Solve for x
x = 93,098,014,645,364,751,073,280/330,004,263,728.08 - Step 6: Final answer
x = 282,111,550,904.31
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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.