Finding the Fourth Proportional to 1,617,503,936,375.60, 2,232,225,598,353.20 and 895,739,565,368.64
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Solution
The fourth proportional to 1,617,503,936,375.60, 2,232,225,598,353.20 and 895,739,565,368.64 is: 1,236,159,456,745.42
Step by Step Solution
- Step 1: Write the proportion equation
1,617,503,936,375.60 : 2,232,225,598,353.20 = 895,739,565,368.64 : x - Step 2: Convert to fraction form
1,617,503,936,375.60/2,232,225,598,353.20 = 895,739,565,368.64/x - Step 3: Cross multiply
1,617,503,936,375.60x = 2,232,225,598,353.20 × 895,739,565,368.64 - Step 4: Simplify right side
1,617,503,936,375.60x = 1,999,492,787,273,647,838,461,952 - Step 5: Solve for x
x = 1,999,492,787,273,647,838,461,952/1,617,503,936,375.60 - Step 6: Final answer
x = 1,236,159,456,745.42
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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.