Finding the Fourth Proportional to 159,450,307,629.48, 219,937,743,734.04 and 102,267,043,453.08
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Solution
The fourth proportional to 159,450,307,629.48, 219,937,743,734.04 and 102,267,043,453.08 is: 141,062,021,954.12
Step by Step Solution
- Step 1: Write the proportion equation
159,450,307,629.48 : 219,937,743,734.04 = 102,267,043,453.08 : x - Step 2: Convert to fraction form
159,450,307,629.48/219,937,743,734.04 = 102,267,043,453.08/x - Step 3: Cross multiply
159,450,307,629.48x = 219,937,743,734.04 × 102,267,043,453.08 - Step 4: Simplify right side
159,450,307,629.48x = 22,492,382,795,421,443,948,544 - Step 5: Solve for x
x = 22,492,382,795,421,443,948,544/159,450,307,629.48 - Step 6: Final answer
x = 141,062,021,954.12
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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.