Finding the Fourth Proportional to 2,273,691,474,321.40, 3,410,507,421,068.80 and 552,634,813,658.90
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Solution
The fourth proportional to 2,273,691,474,321.40, 3,410,507,421,068.80 and 552,634,813,658.90 is: 828,944,979,743.65
Step by Step Solution
- Step 1: Write the proportion equation
2,273,691,474,321.40 : 3,410,507,421,068.80 = 552,634,813,658.90 : x - Step 2: Convert to fraction form
2,273,691,474,321.40/3,410,507,421,068.80 = 552,634,813,658.90/x - Step 3: Cross multiply
2,273,691,474,321.40x = 3,410,507,421,068.80 × 552,634,813,658.90 - Step 4: Simplify right side
2,273,691,474,321.40x = 1,884,765,133,124,651,989,336,064 - Step 5: Solve for x
x = 1,884,765,133,124,651,989,336,064/2,273,691,474,321.40 - Step 6: Final answer
x = 828,944,979,743.65
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.