Finding the Fourth Proportional to 51,633,927,831,072, 77,464,476,311,148 and 18,555,765,810,753
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Solution
The fourth proportional to 51,633,927,831,072, 77,464,476,311,148 and 18,555,765,810,753 is: 27,838,530,622,442.54
Step by Step Solution
- Step 1: Write the proportion equation
51,633,927,831,072 : 77,464,476,311,148 = 18,555,765,810,753 : x - Step 2: Convert to fraction form
51,633,927,831,072/77,464,476,311,148 = 18,555,765,810,753/x - Step 3: Cross multiply
51,633,927,831,072x = 77,464,476,311,148 × 18,555,765,810,753 - Step 4: Simplify right side
51,633,927,831,072x = 1,437,412,681,082,285,821,096,099,840 - Step 5: Solve for x
x = 1,437,412,681,082,285,821,096,099,840/51,633,927,831,072 - Step 6: Final answer
x = 27,838,530,622,442.54
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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.