Finding the Fourth Proportional to 537,853,414,908.84, 806,921,628,243.84 and 193,289,227,197.21
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Solution
The fourth proportional to 537,853,414,908.84, 806,921,628,243.84 and 193,289,227,197.21 is: 289,984,693,986.56
Step by Step Solution
- Step 1: Write the proportion equation
537,853,414,908.84 : 806,921,628,243.84 = 193,289,227,197.21 : x - Step 2: Convert to fraction form
537,853,414,908.84/806,921,628,243.84 = 193,289,227,197.21/x - Step 3: Cross multiply
537,853,414,908.84x = 806,921,628,243.84 × 193,289,227,197.21 - Step 4: Simplify right side
537,853,414,908.84x = 155,969,257,931,966,200,676,352 - Step 5: Solve for x
x = 155,969,257,931,966,200,676,352/537,853,414,908.84 - Step 6: Final answer
x = 289,984,693,986.56
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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.