Finding the Fourth Proportional to 75,227,422,114.54, 103,810,709,313.84 and 40,933,263,349.63
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Solution
The fourth proportional to 75,227,422,114.54, 103,810,709,313.84 and 40,933,263,349.63 is: 56,486,198,561.81
Step by Step Solution
- Step 1: Write the proportion equation
75,227,422,114.54 : 103,810,709,313.84 = 40,933,263,349.63 : x - Step 2: Convert to fraction form
75,227,422,114.54/103,810,709,313.84 = 40,933,263,349.63/x - Step 3: Cross multiply
75,227,422,114.54x = 103,810,709,313.84 × 40,933,263,349.63 - Step 4: Simplify right side
75,227,422,114.54x = 4,249,311,102,855,299,989,504 - Step 5: Solve for x
x = 4,249,311,102,855,299,989,504/75,227,422,114.54 - Step 6: Final answer
x = 56,486,198,561.81
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1.5x scale
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.