Finding the Fourth Proportional to 27,284,297,691,850, 40,926,089,052,816 and 6,631,617,763,900
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Solution
The fourth proportional to 27,284,297,691,850, 40,926,089,052,816 and 6,631,617,763,900 is: 9,947,339,756,913.69
Step by Step Solution
- Step 1: Write the proportion equation
27,284,297,691,850 : 40,926,089,052,816 = 6,631,617,763,900 : x - Step 2: Convert to fraction form
27,284,297,691,850/40,926,089,052,816 = 6,631,617,763,900/x - Step 3: Cross multiply
27,284,297,691,850x = 40,926,089,052,816 × 6,631,617,763,900 - Step 4: Simplify right side
27,284,297,691,850x = 271,406,179,169,607,903,988,416,512 - Step 5: Solve for x
x = 271,406,179,169,607,903,988,416,512/27,284,297,691,850 - Step 6: Final answer
x = 9,947,339,756,913.69
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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.