Finding the Fourth Proportional to 199,470,231,936.02, 275,269,185,528.08 and 108,018,940,475.12
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Solution
The fourth proportional to 199,470,231,936.02, 275,269,185,528.08 and 108,018,940,475.12 is: 149,066,281,608.02
Step by Step Solution
- Step 1: Write the proportion equation
199,470,231,936.02 : 275,269,185,528.08 = 108,018,940,475.12 : x - Step 2: Convert to fraction form
199,470,231,936.02/275,269,185,528.08 = 108,018,940,475.12/x - Step 3: Cross multiply
199,470,231,936.02x = 275,269,185,528.08 × 108,018,940,475.12 - Step 4: Simplify right side
199,470,231,936.02x = 29,734,285,766,192,439,230,464 - Step 5: Solve for x
x = 29,734,285,766,192,439,230,464/199,470,231,936.02 - Step 6: Final answer
x = 149,066,281,608.02
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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.