Finding the Fourth Proportional to 55,057,511,959,162, 75,978,979,986,976 and 30,056,972,037,664
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Solution
The fourth proportional to 55,057,511,959,162, 75,978,979,986,976 and 30,056,972,037,664 is: 41,478,410,404,971.91
Step by Step Solution
- Step 1: Write the proportion equation
55,057,511,959,162 : 75,978,979,986,976 = 30,056,972,037,664 : x - Step 2: Convert to fraction form
55,057,511,959,162/75,978,979,986,976 = 30,056,972,037,664/x - Step 3: Cross multiply
55,057,511,959,162x = 75,978,979,986,976 × 30,056,972,037,664 - Step 4: Simplify right side
55,057,511,959,162x = 2,283,698,076,918,770,326,598,320,128 - Step 5: Solve for x
x = 2,283,698,076,918,770,326,598,320,128/55,057,511,959,162 - Step 6: Final answer
x = 41,478,410,404,971.91
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.