Finding the Fourth Proportional to 4,613,340,744,317, 6,365,825,081,658.20 and 2,529,414,036,634
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Solution
The fourth proportional to 4,613,340,744,317, 6,365,825,081,658.20 and 2,529,414,036,634 is: 3,490,270,545,512.65
Step by Step Solution
- Step 1: Write the proportion equation
4,613,340,744,317 : 6,365,825,081,658.20 = 2,529,414,036,634 : x - Step 2: Convert to fraction form
4,613,340,744,317/6,365,825,081,658.20 = 2,529,414,036,634/x - Step 3: Cross multiply
4,613,340,744,317x = 6,365,825,081,658.20 × 2,529,414,036,634 - Step 4: Simplify right side
4,613,340,744,317x = 16,101,807,316,303,031,578,918,912 - Step 5: Solve for x
x = 16,101,807,316,303,031,578,918,912/4,613,340,744,317 - Step 6: Final answer
x = 3,490,270,545,512.65
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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.