Finding the Fourth Proportional to 11,427,204,163.99, 15,769,578,280.26 and 6,346,567,178.26
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Solution
The fourth proportional to 11,427,204,163.99, 15,769,578,280.26 and 6,346,567,178.26 is: 8,758,282,996.63
Step by Step Solution
- Step 1: Write the proportion equation
11,427,204,163.99 : 15,769,578,280.26 = 6,346,567,178.26 : x - Step 2: Convert to fraction form
11,427,204,163.99/15,769,578,280.26 = 6,346,567,178.26/x - Step 3: Cross multiply
11,427,204,163.99x = 15,769,578,280.26 × 6,346,567,178.26 - Step 4: Simplify right side
11,427,204,163.99x = 100,082,687,928,544,002,048 - Step 5: Solve for x
x = 100,082,687,928,544,002,048/11,427,204,163.99 - Step 6: Final answer
x = 8,758,282,996.63
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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.