Finding the Fourth Proportional to 39,202,106,212,248, 54,103,650,442,276 and 22,311,793,579,460
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Solution
The fourth proportional to 39,202,106,212,248, 54,103,650,442,276 and 22,311,793,579,460 is: 30,792,975,102,602.25
Step by Step Solution
- Step 1: Write the proportion equation
39,202,106,212,248 : 54,103,650,442,276 = 22,311,793,579,460 : x - Step 2: Convert to fraction form
39,202,106,212,248/54,103,650,442,276 = 22,311,793,579,460/x - Step 3: Cross multiply
39,202,106,212,248x = 54,103,650,442,276 × 22,311,793,579,460 - Step 4: Simplify right side
39,202,106,212,248x = 1,207,149,480,563,321,835,217,747,968 - Step 5: Solve for x
x = 1,207,149,480,563,321,835,217,747,968/39,202,106,212,248 - Step 6: Final answer
x = 30,792,975,102,602.25
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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.