Finding the Fourth Proportional to 1,944,560,051,961.40, 2,916,575,295,772.60 and 511,847,970,426.96
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Solution
The fourth proportional to 1,944,560,051,961.40, 2,916,575,295,772.60 and 511,847,970,426.96 is: 767,702,259,558.84
Step by Step Solution
- Step 1: Write the proportion equation
1,944,560,051,961.40 : 2,916,575,295,772.60 = 511,847,970,426.96 : x - Step 2: Convert to fraction form
1,944,560,051,961.40/2,916,575,295,772.60 = 511,847,970,426.96/x - Step 3: Cross multiply
1,944,560,051,961.40x = 2,916,575,295,772.60 × 511,847,970,426.96 - Step 4: Simplify right side
1,944,560,051,961.40x = 1,492,843,145,738,615,873,601,536 - Step 5: Solve for x
x = 1,492,843,145,738,615,873,601,536/1,944,560,051,961.40 - Step 6: Final answer
x = 767,702,259,558.84
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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.