Finding the Fourth Proportional to 224,069,115,082, 309,222,754,134.24 and 122,568,677,636.08
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Solution
The fourth proportional to 224,069,115,082, 309,222,754,134.24 and 122,568,677,636.08 is: 169,148,809,532.94
Step by Step Solution
- Step 1: Write the proportion equation
224,069,115,082 : 309,222,754,134.24 = 122,568,677,636.08 : x - Step 2: Convert to fraction form
224,069,115,082/309,222,754,134.24 = 122,568,677,636.08/x - Step 3: Cross multiply
224,069,115,082x = 309,222,754,134.24 × 122,568,677,636.08 - Step 4: Simplify right side
224,069,115,082x = 37,901,024,069,220,483,203,072 - Step 5: Solve for x
x = 37,901,024,069,220,483,203,072/224,069,115,082 - Step 6: Final answer
x = 169,148,809,532.94
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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.