Finding the Fourth Proportional to 722,082,839,340.84, 1,083,128,874,563.10 and 212,139,520,611.75
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Solution
The fourth proportional to 722,082,839,340.84, 1,083,128,874,563.10 and 212,139,520,611.75 is: 318,210,636,912.95
Step by Step Solution
- Step 1: Write the proportion equation
722,082,839,340.84 : 1,083,128,874,563.10 = 212,139,520,611.75 : x - Step 2: Convert to fraction form
722,082,839,340.84/1,083,128,874,563.10 = 212,139,520,611.75/x - Step 3: Cross multiply
722,082,839,340.84x = 1,083,128,874,563.10 × 212,139,520,611.75 - Step 4: Simplify right side
722,082,839,340.84x = 229,774,440,210,560,324,730,880 - Step 5: Solve for x
x = 229,774,440,210,560,324,730,880/722,082,839,340.84 - Step 6: Final answer
x = 318,210,636,912.95
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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.