Finding the Fourth Proportional to 297,855,624,635.97, 446,780,492,657.46 and 136,461,251,512.95
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Solution
The fourth proportional to 297,855,624,635.97, 446,780,492,657.46 and 136,461,251,512.95 is: 204,690,528,352.87
Step by Step Solution
- Step 1: Write the proportion equation
297,855,624,635.97 : 446,780,492,657.46 = 136,461,251,512.95 : x - Step 2: Convert to fraction form
297,855,624,635.97/446,780,492,657.46 = 136,461,251,512.95/x - Step 3: Cross multiply
297,855,624,635.97x = 446,780,492,657.46 × 136,461,251,512.95 - Step 4: Simplify right side
297,855,624,635.97x = 60,968,225,179,609,365,217,280 - Step 5: Solve for x
x = 60,968,225,179,609,365,217,280/297,855,624,635.97 - Step 6: Final answer
x = 204,690,528,352.87
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.