Finding the Fourth Proportional to 36,028,349,006,816, 49,715,146,290,828 and 20,204,438,486,392
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Solution
The fourth proportional to 36,028,349,006,816, 49,715,146,290,828 and 20,204,438,486,392 is: 27,879,895,769,994.47
Step by Step Solution
- Step 1: Write the proportion equation
36,028,349,006,816 : 49,715,146,290,828 = 20,204,438,486,392 : x - Step 2: Convert to fraction form
36,028,349,006,816/49,715,146,290,828 = 20,204,438,486,392/x - Step 3: Cross multiply
36,028,349,006,816x = 49,715,146,290,828 × 20,204,438,486,392 - Step 4: Simplify right side
36,028,349,006,816x = 1,004,466,615,075,013,795,122,249,728 - Step 5: Solve for x
x = 1,004,466,615,075,013,795,122,249,728/36,028,349,006,816 - Step 6: Final answer
x = 27,879,895,769,994.47
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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.