Finding the Fourth Proportional to 1,617,503,936,279.70, 2,232,225,598,221.50 and 895,739,565,272.62
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Solution
The fourth proportional to 1,617,503,936,279.70, 2,232,225,598,221.50 and 895,739,565,272.62 is: 1,236,159,456,613.27
Step by Step Solution
- Step 1: Write the proportion equation
1,617,503,936,279.70 : 2,232,225,598,221.50 = 895,739,565,272.62 : x - Step 2: Convert to fraction form
1,617,503,936,279.70/2,232,225,598,221.50 = 895,739,565,272.62/x - Step 3: Cross multiply
1,617,503,936,279.70x = 2,232,225,598,221.50 × 895,739,565,272.62 - Step 4: Simplify right side
1,617,503,936,279.70x = 1,999,492,786,941,340,581,625,856 - Step 5: Solve for x
x = 1,999,492,786,941,340,581,625,856/1,617,503,936,279.70 - Step 6: Final answer
x = 1,236,159,456,613.27
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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.