Finding the Fourth Proportional to 51,633,927,831,412, 77,464,476,311,660 and 18,555,765,811,097
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Solution
The fourth proportional to 51,633,927,831,412, 77,464,476,311,660 and 18,555,765,811,097 is: 27,838,530,622,959.32
Step by Step Solution
- Step 1: Write the proportion equation
51,633,927,831,412 : 77,464,476,311,660 = 18,555,765,811,097 : x - Step 2: Convert to fraction form
51,633,927,831,412/77,464,476,311,660 = 18,555,765,811,097/x - Step 3: Cross multiply
51,633,927,831,412x = 77,464,476,311,660 × 18,555,765,811,097 - Step 4: Simplify right side
51,633,927,831,412x = 1,437,412,681,118,434,190,004,584,448 - Step 5: Solve for x
x = 1,437,412,681,118,434,190,004,584,448/51,633,927,831,412 - Step 6: Final answer
x = 27,838,530,622,959.32
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.