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Finding the Fourth Proportional to 463,581,366.80, 649,969,428.40 and 463,581,366.80

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Solution

The fourth proportional to 463,581,366.80, 649,969,428.40 and 463,581,366.80 is: 649,969,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,581,366.80 : 649,969,428.40 = 463,581,366.80 : x
  2. Step 2: Convert to fraction form
    463,581,366.80/649,969,428.40 = 463,581,366.80/x
  3. Step 3: Cross multiply
    463,581,366.80x = 649,969,428.40 × 463,581,366.80
  4. Step 4: Simplify right side
    463,581,366.80x = 301,313,715,995,886,720
  5. Step 5: Solve for x
    x = 301,313,715,995,886,720/463,581,366.80
  6. Step 6: Final answer
    x = 649,969,428.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.