Finding the Fourth Proportional to 540,984,382,518.06, 746,627,322,451.26 and 327,129,803,140.14
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Solution
The fourth proportional to 540,984,382,518.06, 746,627,322,451.26 and 327,129,803,140.14 is: 451,480,776,350.10
Step by Step Solution
- Step 1: Write the proportion equation
540,984,382,518.06 : 746,627,322,451.26 = 327,129,803,140.14 : x - Step 2: Convert to fraction form
540,984,382,518.06/746,627,322,451.26 = 327,129,803,140.14/x - Step 3: Cross multiply
540,984,382,518.06x = 746,627,322,451.26 × 327,129,803,140.14 - Step 4: Simplify right side
540,984,382,518.06x = 244,244,049,012,530,536,775,680 - Step 5: Solve for x
x = 244,244,049,012,530,536,775,680/540,984,382,518.06 - Step 6: Final answer
x = 451,480,776,350.10
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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.