Finding the Fourth Proportional to 17,704,996,084.14, 24,432,918,404.67 and 10,186,466,423.10
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Solution
The fourth proportional to 17,704,996,084.14, 24,432,918,404.67 and 10,186,466,423.10 is: 14,057,337,361.99
Step by Step Solution
- Step 1: Write the proportion equation
17,704,996,084.14 : 24,432,918,404.67 = 10,186,466,423.10 : x - Step 2: Convert to fraction form
17,704,996,084.14/24,432,918,404.67 = 10,186,466,423.10/x - Step 3: Cross multiply
17,704,996,084.14x = 24,432,918,404.67 × 10,186,466,423.10 - Step 4: Simplify right side
17,704,996,084.14x = 248,885,102,947,512,975,360 - Step 5: Solve for x
x = 248,885,102,947,512,975,360/17,704,996,084.14 - Step 6: Final answer
x = 14,057,337,361.99
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.