Finding the Fourth Proportional to 1,494,339,405,658.40, 2,062,190,368,486.10 and 809,228,313,159.35
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Solution
The fourth proportional to 1,494,339,405,658.40, 2,062,190,368,486.10 and 809,228,313,159.35 is: 1,116,736,149,086.70
Step by Step Solution
- Step 1: Write the proportion equation
1,494,339,405,658.40 : 2,062,190,368,486.10 = 809,228,313,159.35 : x - Step 2: Convert to fraction form
1,494,339,405,658.40/2,062,190,368,486.10 = 809,228,313,159.35/x - Step 3: Cross multiply
1,494,339,405,658.40x = 2,062,190,368,486.10 × 809,228,313,159.35 - Step 4: Simplify right side
1,494,339,405,658.40x = 1,668,782,833,303,465,077,243,904 - Step 5: Solve for x
x = 1,668,782,833,303,465,077,243,904/1,494,339,405,658.40 - Step 6: Final answer
x = 1,116,736,149,086.70
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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.