Finding the Fourth Proportional to 434,893,431,340.29, 600,171,536,274.21 and 242,205,573,368.23
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Solution
The fourth proportional to 434,893,431,340.29, 600,171,536,274.21 and 242,205,573,368.23 is: 334,254,050,732.82
Step by Step Solution
- Step 1: Write the proportion equation
434,893,431,340.29 : 600,171,536,274.21 = 242,205,573,368.23 : x - Step 2: Convert to fraction form
434,893,431,340.29/600,171,536,274.21 = 242,205,573,368.23/x - Step 3: Cross multiply
434,893,431,340.29x = 600,171,536,274.21 × 242,205,573,368.23 - Step 4: Simplify right side
434,893,431,340.29x = 145,364,891,062,586,486,816,768 - Step 5: Solve for x
x = 145,364,891,062,586,486,816,768/434,893,431,340.29 - Step 6: Final answer
x = 334,254,050,732.82
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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.