Finding the Fourth Proportional to 149,365,940,638.20, 206,125,619,109.58 and 80,777,353,751.99
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Solution
The fourth proportional to 149,365,940,638.20, 206,125,619,109.58 and 80,777,353,751.99 is: 111,473,084,031.21
Step by Step Solution
- Step 1: Write the proportion equation
149,365,940,638.20 : 206,125,619,109.58 = 80,777,353,751.99 : x - Step 2: Convert to fraction form
149,365,940,638.20/206,125,619,109.58 = 80,777,353,751.99/x - Step 3: Cross multiply
149,365,940,638.20x = 206,125,619,109.58 × 80,777,353,751.99 - Step 4: Simplify right side
149,365,940,638.20x = 16,650,282,052,163,110,699,008 - Step 5: Solve for x
x = 16,650,282,052,163,110,699,008/149,365,940,638.20 - Step 6: Final answer
x = 111,473,084,031.21
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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.