Finding the Fourth Proportional to 55,945,299,916,912, 77,199,332,797,544 and 30,944,221,907,226
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Solution
The fourth proportional to 55,945,299,916,912, 77,199,332,797,544 and 30,944,221,907,226 is: 42,700,160,491,138
Step by Step Solution
- Step 1: Write the proportion equation
55,945,299,916,912 : 77,199,332,797,544 = 30,944,221,907,226 : x - Step 2: Convert to fraction form
55,945,299,916,912/77,199,332,797,544 = 30,944,221,907,226/x - Step 3: Cross multiply
55,945,299,916,912x = 77,199,332,797,544 × 30,944,221,907,226 - Step 4: Simplify right side
55,945,299,916,912x = 2,388,873,285,176,991,791,055,896,576 - Step 5: Solve for x
x = 2,388,873,285,176,991,791,055,896,576/55,945,299,916,912 - Step 6: Final answer
x = 42,700,160,491,138
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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.