Finding the Fourth Proportional to 1,617,503,936,361, 2,232,225,598,333 and 895,739,565,354
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Solution
The fourth proportional to 1,617,503,936,361, 2,232,225,598,333 and 895,739,565,354 is: 1,236,159,456,725.19
Step by Step Solution
- Step 1: Write the proportion equation
1,617,503,936,361 : 2,232,225,598,333 = 895,739,565,354 : x - Step 2: Convert to fraction form
1,617,503,936,361/2,232,225,598,333 = 895,739,565,354/x - Step 3: Cross multiply
1,617,503,936,361x = 2,232,225,598,333 × 895,739,565,354 - Step 4: Simplify right side
1,617,503,936,361x = 1,999,492,787,222,874,077,265,920 - Step 5: Solve for x
x = 1,999,492,787,222,874,077,265,920/1,617,503,936,361 - Step 6: Final answer
x = 1,236,159,456,725.19
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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.