Finding the Fourth Proportional to 265,234,253,197.80, 398,057,691,883.50 and 185,125,382,076.36
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Solution
The fourth proportional to 265,234,253,197.80, 398,057,691,883.50 and 185,125,382,076.36 is: 277,832,072,629.82
Step by Step Solution
- Step 1: Write the proportion equation
265,234,253,197.80 : 398,057,691,883.50 = 185,125,382,076.36 : x - Step 2: Convert to fraction form
265,234,253,197.80/398,057,691,883.50 = 185,125,382,076.36/x - Step 3: Cross multiply
265,234,253,197.80x = 398,057,691,883.50 × 185,125,382,076.36 - Step 4: Simplify right side
265,234,253,197.80x = 73,690,582,298,366,916,427,776 - Step 5: Solve for x
x = 73,690,582,298,366,916,427,776/265,234,253,197.80 - Step 6: Final answer
x = 277,832,072,629.82
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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.