Finding the Fourth Proportional to 567,716,913,470.80, 851,577,553,697.40 and 137,453,281,405.99
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Solution
The fourth proportional to 567,716,913,470.80, 851,577,553,697.40 and 137,453,281,405.99 is: 206,180,450,766.88
Step by Step Solution
- Step 1: Write the proportion equation
567,716,913,470.80 : 851,577,553,697.40 = 137,453,281,405.99 : x - Step 2: Convert to fraction form
567,716,913,470.80/851,577,553,697.40 = 137,453,281,405.99/x - Step 3: Cross multiply
567,716,913,470.80x = 851,577,553,697.40 × 137,453,281,405.99 - Step 4: Simplify right side
567,716,913,470.80x = 117,052,129,127,393,268,858,880 - Step 5: Solve for x
x = 117,052,129,127,393,268,858,880/567,716,913,470.80 - Step 6: Final answer
x = 206,180,450,766.88
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.