Finding the Fourth Proportional to 66,190,138,804.38, 99,284,553,918.45 and 30,324,722,554.82
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Solution
The fourth proportional to 66,190,138,804.38, 99,284,553,918.45 and 30,324,722,554.82 is: 45,486,784,072.99
Step by Step Solution
- Step 1: Write the proportion equation
66,190,138,804.38 : 99,284,553,918.45 = 30,324,722,554.82 : x - Step 2: Convert to fraction form
66,190,138,804.38/99,284,553,918.45 = 30,324,722,554.82/x - Step 3: Cross multiply
66,190,138,804.38x = 99,284,553,918.45 × 30,324,722,554.82 - Step 4: Simplify right side
66,190,138,804.38x = 3,010,776,551,556,361,224,192 - Step 5: Solve for x
x = 3,010,776,551,556,361,224,192/66,190,138,804.38 - Step 6: Final answer
x = 45,486,784,072.99
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1.5x scale
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.