Finding the Fourth Proportional to 1,944,560,051,963.40, 2,916,575,295,775.60 and 511,847,970,428.96
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Solution
The fourth proportional to 1,944,560,051,963.40, 2,916,575,295,775.60 and 511,847,970,428.96 is: 767,702,259,561.84
Step by Step Solution
- Step 1: Write the proportion equation
1,944,560,051,963.40 : 2,916,575,295,775.60 = 511,847,970,428.96 : x - Step 2: Convert to fraction form
1,944,560,051,963.40/2,916,575,295,775.60 = 511,847,970,428.96/x - Step 3: Cross multiply
1,944,560,051,963.40x = 2,916,575,295,775.60 × 511,847,970,428.96 - Step 4: Simplify right side
1,944,560,051,963.40x = 1,492,843,145,745,984,695,304,192 - Step 5: Solve for x
x = 1,492,843,145,745,984,695,304,192/1,944,560,051,963.40 - Step 6: Final answer
x = 767,702,259,561.84
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.