Finding the Fourth Proportional to 20,245,148,907,890, 27,937,830,285,158 and 11,912,175,337,679
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Solution
The fourth proportional to 20,245,148,907,890, 27,937,830,285,158 and 11,912,175,337,679 is: 16,438,522,355,418.22
Step by Step Solution
- Step 1: Write the proportion equation
20,245,148,907,890 : 27,937,830,285,158 = 11,912,175,337,679 : x - Step 2: Convert to fraction form
20,245,148,907,890/27,937,830,285,158 = 11,912,175,337,679/x - Step 3: Cross multiply
20,245,148,907,890x = 27,937,830,285,158 × 11,912,175,337,679 - Step 4: Simplify right side
20,245,148,907,890x = 332,800,332,911,120,611,471,785,984 - Step 5: Solve for x
x = 332,800,332,911,120,611,471,785,984/20,245,148,907,890 - Step 6: Final answer
x = 16,438,522,355,418.22
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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.