Finding the Fourth Proportional to 49,649,745,056,949, 74,474,346,678,620 and 20,243,848,566,062
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Solution
The fourth proportional to 49,649,745,056,949, 74,474,346,678,620 and 20,243,848,566,062 is: 30,365,662,391,399.83
Step by Step Solution
- Step 1: Write the proportion equation
49,649,745,056,949 : 74,474,346,678,620 = 20,243,848,566,062 : x - Step 2: Convert to fraction form
49,649,745,056,949/74,474,346,678,620 = 20,243,848,566,062/x - Step 3: Cross multiply
49,649,745,056,949x = 74,474,346,678,620 × 20,243,848,566,062 - Step 4: Simplify right side
49,649,745,056,949x = 1,507,647,396,218,385,723,880,898,560 - Step 5: Solve for x
x = 1,507,647,396,218,385,723,880,898,560/49,649,745,056,949 - Step 6: Final answer
x = 30,365,662,391,399.83
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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.