Finding the Fourth Proportional to 1,203,800,811,121.60, 1,661,245,390,509.20 and 662,477,532,866.31
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Solution
The fourth proportional to 1,203,800,811,121.60, 1,661,245,390,509.20 and 662,477,532,866.31 is: 914,219,144,581.47
Step by Step Solution
- Step 1: Write the proportion equation
1,203,800,811,121.60 : 1,661,245,390,509.20 = 662,477,532,866.31 : x - Step 2: Convert to fraction form
1,203,800,811,121.60/1,661,245,390,509.20 = 662,477,532,866.31/x - Step 3: Cross multiply
1,203,800,811,121.60x = 1,661,245,390,509.20 × 662,477,532,866.31 - Step 4: Simplify right side
1,203,800,811,121.60x = 1,100,537,747,790,064,611,491,840 - Step 5: Solve for x
x = 1,100,537,747,790,064,611,491,840/1,203,800,811,121.60 - Step 6: Final answer
x = 914,219,144,581.47
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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.