Finding the Fourth Proportional to 678,185,414,676.80, 1,017,278,122,015.20 and 207,081,344,225.60
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Solution
The fourth proportional to 678,185,414,676.80, 1,017,278,122,015.20 and 207,081,344,225.60 is: 310,622,016,338.40
Step by Step Solution
- Step 1: Write the proportion equation
678,185,414,676.80 : 1,017,278,122,015.20 = 207,081,344,225.60 : x - Step 2: Convert to fraction form
678,185,414,676.80/1,017,278,122,015.20 = 207,081,344,225.60/x - Step 3: Cross multiply
678,185,414,676.80x = 1,017,278,122,015.20 × 207,081,344,225.60 - Step 4: Simplify right side
678,185,414,676.80x = 210,659,320,958,201,536,446,464 - Step 5: Solve for x
x = 210,659,320,958,201,536,446,464/678,185,414,676.80 - Step 6: Final answer
x = 310,622,016,338.40
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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.