Finding the Fourth Proportional to 2,560,159,893,653.10, 3,840,465,597,921.60 and 722,314,656,617.75
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Solution
The fourth proportional to 2,560,159,893,653.10, 3,840,465,597,921.60 and 722,314,656,617.75 is: 1,083,535,679,350.39
Step by Step Solution
- Step 1: Write the proportion equation
2,560,159,893,653.10 : 3,840,465,597,921.60 = 722,314,656,617.75 : x - Step 2: Convert to fraction form
2,560,159,893,653.10/3,840,465,597,921.60 = 722,314,656,617.75/x - Step 3: Cross multiply
2,560,159,893,653.10x = 3,840,465,597,921.60 × 722,314,656,617.75 - Step 4: Simplify right side
2,560,159,893,653.10x = 2,774,024,589,615,022,542,422,016 - Step 5: Solve for x
x = 2,774,024,589,615,022,542,422,016/2,560,159,893,653.10 - Step 6: Final answer
x = 1,083,535,679,350.39
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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.