Finding the Fourth Proportional to 252,123,791.60, 378,224,789.16 and 106,557,965.84
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Solution
The fourth proportional to 252,123,791.60, 378,224,789.16 and 106,557,965.84 is: 159,853,474.78
Step by Step Solution
- Step 1: Write the proportion equation
252,123,791.60 : 378,224,789.16 = 106,557,965.84 : x - Step 2: Convert to fraction form
252,123,791.60/378,224,789.16 = 106,557,965.84/x - Step 3: Cross multiply
252,123,791.60x = 378,224,789.16 × 106,557,965.84 - Step 4: Simplify right side
252,123,791.60x = 40,302,864,163,152,488 - Step 5: Solve for x
x = 40,302,864,163,152,488/252,123,791.60 - Step 6: Final answer
x = 159,853,474.78
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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.