Finding the Fourth Proportional to 424,684,927,419.48, 586,204,865,797.12 and 338,036,438,269.52
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Solution
The fourth proportional to 424,684,927,419.48, 586,204,865,797.12 and 338,036,438,269.52 is: 466,601,454,717.02
Step by Step Solution
- Step 1: Write the proportion equation
424,684,927,419.48 : 586,204,865,797.12 = 338,036,438,269.52 : x - Step 2: Convert to fraction form
424,684,927,419.48/586,204,865,797.12 = 338,036,438,269.52/x - Step 3: Cross multiply
424,684,927,419.48x = 586,204,865,797.12 × 338,036,438,269.52 - Step 4: Simplify right side
424,684,927,419.48x = 198,158,604,930,320,420,569,088 - Step 5: Solve for x
x = 198,158,604,930,320,420,569,088/424,684,927,419.48 - Step 6: Final answer
x = 466,601,454,717.02
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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.