Finding the Fourth Proportional to 17,743,947,461,269, 24,486,628,925,330 and 9,940,145,396,898.80
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Solution
The fourth proportional to 17,743,947,461,269, 24,486,628,925,330 and 9,940,145,396,898.80 is: 13,717,390,244,136.84
Step by Step Solution
- Step 1: Write the proportion equation
17,743,947,461,269 : 24,486,628,925,330 = 9,940,145,396,898.80 : x - Step 2: Convert to fraction form
17,743,947,461,269/24,486,628,925,330 = 9,940,145,396,898.80/x - Step 3: Cross multiply
17,743,947,461,269x = 24,486,628,925,330 × 9,940,145,396,898.80 - Step 4: Simplify right side
17,743,947,461,269x = 243,400,651,797,688,030,838,390,784 - Step 5: Solve for x
x = 243,400,651,797,688,030,838,390,784/17,743,947,461,269 - Step 6: Final answer
x = 13,717,390,244,136.84
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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.