Finding the Fourth Proportional to 1,494,339,405,559.20, 2,062,190,368,349.10 and 809,228,313,060.21
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Solution
The fourth proportional to 1,494,339,405,559.20, 2,062,190,368,349.10 and 809,228,313,060.21 is: 1,116,736,148,949.83
Step by Step Solution
- Step 1: Write the proportion equation
1,494,339,405,559.20 : 2,062,190,368,349.10 = 809,228,313,060.21 : x - Step 2: Convert to fraction form
1,494,339,405,559.20/2,062,190,368,349.10 = 809,228,313,060.21/x - Step 3: Cross multiply
1,494,339,405,559.20x = 2,062,190,368,349.10 × 809,228,313,060.21 - Step 4: Simplify right side
1,494,339,405,559.20x = 1,668,782,832,988,155,153,481,728 - Step 5: Solve for x
x = 1,668,782,832,988,155,153,481,728/1,494,339,405,559.20 - Step 6: Final answer
x = 1,116,736,148,949.83
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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.