Finding the Fourth Proportional to 481,364,106,041.12, 664,273,529,774.44 and 264,585,666,343.74
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Solution
The fourth proportional to 481,364,106,041.12, 664,273,529,774.44 and 264,585,666,343.74 is: 365,123,307,500.76
Step by Step Solution
- Step 1: Write the proportion equation
481,364,106,041.12 : 664,273,529,774.44 = 264,585,666,343.74 : x - Step 2: Convert to fraction form
481,364,106,041.12/664,273,529,774.44 = 264,585,666,343.74/x - Step 3: Cross multiply
481,364,106,041.12x = 664,273,529,774.44 × 264,585,666,343.74 - Step 4: Simplify right side
481,364,106,041.12x = 175,757,254,509,878,401,040,384 - Step 5: Solve for x
x = 175,757,254,509,878,401,040,384/481,364,106,041.12 - Step 6: Final answer
x = 365,123,307,500.76
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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.