Finding the Fourth Proportional to 914,795,186,282.82, 1,372,143,121,412 and 278,037,937,959.57
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Solution
The fourth proportional to 914,795,186,282.82, 1,372,143,121,412 and 278,037,937,959.57 is: 417,041,814,149.70
Step by Step Solution
- Step 1: Write the proportion equation
914,795,186,282.82 : 1,372,143,121,412 = 278,037,937,959.57 : x - Step 2: Convert to fraction form
914,795,186,282.82/1,372,143,121,412 = 278,037,937,959.57/x - Step 3: Cross multiply
914,795,186,282.82x = 1,372,143,121,412 × 278,037,937,959.57 - Step 4: Simplify right side
914,795,186,282.82x = 381,507,844,062,800,380,952,576 - Step 5: Solve for x
x = 381,507,844,062,800,380,952,576/914,795,186,282.82 - Step 6: Final answer
x = 417,041,814,149.70
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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.