Finding the Fourth Proportional to 880,096,947,153.36, 1,320,143,773,046.70 and 275,768,416,785.84
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Solution
The fourth proportional to 880,096,947,153.36, 1,320,143,773,046.70 and 275,768,416,785.84 is: 413,652,108,895.84
Step by Step Solution
- Step 1: Write the proportion equation
880,096,947,153.36 : 1,320,143,773,046.70 = 275,768,416,785.84 : x - Step 2: Convert to fraction form
880,096,947,153.36/1,320,143,773,046.70 = 275,768,416,785.84/x - Step 3: Cross multiply
880,096,947,153.36x = 1,320,143,773,046.70 × 275,768,416,785.84 - Step 4: Simplify right side
880,096,947,153.36x = 364,053,958,222,773,745,614,848 - Step 5: Solve for x
x = 364,053,958,222,773,745,614,848/880,096,947,153.36 - Step 6: Final answer
x = 413,652,108,895.84
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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.