Finding the Fourth Proportional to 5,438,835,939,383.70, 7,505,698,067,128.60 and 2,969,744,709,152
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Solution
The fourth proportional to 5,438,835,939,383.70, 7,505,698,067,128.60 and 2,969,744,709,152 is: 4,098,304,742,369.81
Step by Step Solution
- Step 1: Write the proportion equation
5,438,835,939,383.70 : 7,505,698,067,128.60 = 2,969,744,709,152 : x - Step 2: Convert to fraction form
5,438,835,939,383.70/7,505,698,067,128.60 = 2,969,744,709,152/x - Step 3: Cross multiply
5,438,835,939,383.70x = 7,505,698,067,128.60 × 2,969,744,709,152 - Step 4: Simplify right side
5,438,835,939,383.70x = 22,290,007,123,347,549,720,674,304 - Step 5: Solve for x
x = 22,290,007,123,347,549,720,674,304/5,438,835,939,383.70 - Step 6: Final answer
x = 4,098,304,742,369.81
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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.