Finding the Fourth Proportional to 630,424,436,722.24, 869,986,561,649.97 and 341,393,194,574.27
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Solution
The fourth proportional to 630,424,436,722.24, 869,986,561,649.97 and 341,393,194,574.27 is: 471,123,062,840.96
Step by Step Solution
- Step 1: Write the proportion equation
630,424,436,722.24 : 869,986,561,649.97 = 341,393,194,574.27 : x - Step 2: Convert to fraction form
630,424,436,722.24/869,986,561,649.97 = 341,393,194,574.27/x - Step 3: Cross multiply
630,424,436,722.24x = 869,986,561,649.97 × 341,393,194,574.27 - Step 4: Simplify right side
630,424,436,722.24x = 297,007,491,518,368,359,383,040 - Step 5: Solve for x
x = 297,007,491,518,368,359,383,040/630,424,436,722.24 - Step 6: Final answer
x = 471,123,062,840.96
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.