Finding the Fourth Proportional to 266,665,228,352.36, 367,998,379,542.53 and 144,729,964,658.01
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Solution
The fourth proportional to 266,665,228,352.36, 367,998,379,542.53 and 144,729,964,658.01 is: 199,727,549,011.45
Step by Step Solution
- Step 1: Write the proportion equation
266,665,228,352.36 : 367,998,379,542.53 = 144,729,964,658.01 : x - Step 2: Convert to fraction form
266,665,228,352.36/367,998,379,542.53 = 144,729,964,658.01/x - Step 3: Cross multiply
266,665,228,352.36x = 367,998,379,542.53 × 144,729,964,658.01 - Step 4: Simplify right side
266,665,228,352.36x = 53,260,392,465,395,322,191,872 - Step 5: Solve for x
x = 53,260,392,465,395,322,191,872/266,665,228,352.36 - Step 6: Final answer
x = 199,727,549,011.45
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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.