Finding the Fourth Proportional to 25,880,062,975,928, 35,715,609,565,266 and 14,331,833,039,819
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Solution
The fourth proportional to 25,880,062,975,928, 35,715,609,565,266 and 14,331,833,039,819 is: 19,778,551,299,541.43
Step by Step Solution
- Step 1: Write the proportion equation
25,880,062,975,928 : 35,715,609,565,266 = 14,331,833,039,819 : x - Step 2: Convert to fraction form
25,880,062,975,928/35,715,609,565,266 = 14,331,833,039,819/x - Step 3: Cross multiply
25,880,062,975,928x = 35,715,609,565,266 × 14,331,833,039,819 - Step 4: Simplify right side
25,880,062,975,928x = 511,870,153,204,754,740,448,067,584 - Step 5: Solve for x
x = 511,870,153,204,754,740,448,067,584/25,880,062,975,928 - Step 6: Final answer
x = 19,778,551,299,541.43
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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.