Finding the Fourth Proportional to 9,746,732,388,613, 13,450,612,579,098 and 5,357,542,037,737
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Solution
The fourth proportional to 9,746,732,388,613, 13,450,612,579,098 and 5,357,542,037,737 is: 7,393,475,008,098.21
Step by Step Solution
- Step 1: Write the proportion equation
9,746,732,388,613 : 13,450,612,579,098 = 5,357,542,037,737 : x - Step 2: Convert to fraction form
9,746,732,388,613/13,450,612,579,098 = 5,357,542,037,737/x - Step 3: Cross multiply
9,746,732,388,613x = 13,450,612,579,098 × 5,357,542,037,737 - Step 4: Simplify right side
9,746,732,388,613x = 72,062,222,325,831,627,882,627,072 - Step 5: Solve for x
x = 72,062,222,325,831,627,882,627,072/9,746,732,388,613 - Step 6: Final answer
x = 7,393,475,008,098.21
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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.