Finding the Fourth Proportional to 1,634,433,647,202.10, 2,255,586,956,255.50 and 939,974,747,218.17
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Solution
The fourth proportional to 1,634,433,647,202.10, 2,255,586,956,255.50 and 939,974,747,218.17 is: 1,297,204,559,306.71
Step by Step Solution
- Step 1: Write the proportion equation
1,634,433,647,202.10 : 2,255,586,956,255.50 = 939,974,747,218.17 : x - Step 2: Convert to fraction form
1,634,433,647,202.10/2,255,586,956,255.50 = 939,974,747,218.17/x - Step 3: Cross multiply
1,634,433,647,202.10x = 2,255,586,956,255.50 × 939,974,747,218.17 - Step 4: Simplify right side
1,634,433,647,202.10x = 2,120,194,779,034,865,222,287,360 - Step 5: Solve for x
x = 2,120,194,779,034,865,222,287,360/1,634,433,647,202.10 - Step 6: Final answer
x = 1,297,204,559,306.71
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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.