Finding the Fourth Proportional to 4,310,212,563,705.30, 5,948,130,430,972.20 and 2,458,414,516,524
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Solution
The fourth proportional to 4,310,212,563,705.30, 5,948,130,430,972.20 and 2,458,414,516,524 is: 3,392,633,189,558.87
Step by Step Solution
- Step 1: Write the proportion equation
4,310,212,563,705.30 : 5,948,130,430,972.20 = 2,458,414,516,524 : x - Step 2: Convert to fraction form
4,310,212,563,705.30/5,948,130,430,972.20 = 2,458,414,516,524/x - Step 3: Cross multiply
4,310,212,563,705.30x = 5,948,130,430,972.20 × 2,458,414,516,524 - Step 4: Simplify right side
4,310,212,563,705.30x = 14,622,970,197,680,214,297,804,800 - Step 5: Solve for x
x = 14,622,970,197,680,214,297,804,800/4,310,212,563,705.30 - Step 6: Final answer
x = 3,392,633,189,558.87
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.