Finding the Fourth Proportional to 701,154,659,097, 1,052,412,090,557 and 338,375,627,306
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Solution
The fourth proportional to 701,154,659,097, 1,052,412,090,557 and 338,375,627,306 is: 507,891,656,578.69
Step by Step Solution
- Step 1: Write the proportion equation
701,154,659,097 : 1,052,412,090,557 = 338,375,627,306 : x - Step 2: Convert to fraction form
701,154,659,097/1,052,412,090,557 = 338,375,627,306/x - Step 3: Cross multiply
701,154,659,097x = 1,052,412,090,557 × 338,375,627,306 - Step 4: Simplify right side
701,154,659,097x = 356,110,601,326,643,780,780,032 - Step 5: Solve for x
x = 356,110,601,326,643,780,780,032/701,154,659,097 - Step 6: Final answer
x = 507,891,656,578.69
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.