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Finding the Fourth Proportional to 313,105,688.10, 469,658,532.15 and 313,105,688.10

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Solution

The fourth proportional to 313,105,688.10, 469,658,532.15 and 313,105,688.10 is: 469,658,532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,105,688.10 : 469,658,532.15 = 313,105,688.10 : x
  2. Step 2: Convert to fraction form
    313,105,688.10/469,658,532.15 = 313,105,688.10/x
  3. Step 3: Cross multiply
    313,105,688.10x = 469,658,532.15 × 313,105,688.10
  4. Step 4: Simplify right side
    313,105,688.10x = 147,052,757,880,861,728
  5. Step 5: Solve for x
    x = 147,052,757,880,861,728/313,105,688.10
  6. Step 6: Final answer
    x = 469,658,532.15

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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.