Finding the Fourth Proportional to 8,201,494,656,555.40, 11,317,022,367,382 and 4,496,736,065,119.40
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Solution
The fourth proportional to 8,201,494,656,555.40, 11,317,022,367,382 and 4,496,736,065,119.40 is: 6,204,925,414,234.56
Step by Step Solution
- Step 1: Write the proportion equation
8,201,494,656,555.40 : 11,317,022,367,382 = 4,496,736,065,119.40 : x - Step 2: Convert to fraction form
8,201,494,656,555.40/11,317,022,367,382 = 4,496,736,065,119.40/x - Step 3: Cross multiply
8,201,494,656,555.40x = 11,317,022,367,382 × 4,496,736,065,119.40 - Step 4: Simplify right side
8,201,494,656,555.40x = 50,889,662,629,169,577,053,913,088 - Step 5: Solve for x
x = 50,889,662,629,169,577,053,913,088/8,201,494,656,555.40 - Step 6: Final answer
x = 6,204,925,414,234.56
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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.