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Finding the Fourth Proportional to 523,291,208.15, 784,936,812.23 and 523,291,208.15

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Solution

The fourth proportional to 523,291,208.15, 784,936,812.23 and 523,291,208.15 is: 784,936,812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,291,208.15 : 784,936,812.23 = 523,291,208.15 : x
  2. Step 2: Convert to fraction form
    523,291,208.15/784,936,812.23 = 523,291,208.15/x
  3. Step 3: Cross multiply
    523,291,208.15x = 784,936,812.23 × 523,291,208.15
  4. Step 4: Simplify right side
    523,291,208.15x = 410,750,532,793,246,400
  5. Step 5: Solve for x
    x = 410,750,532,793,246,400/523,291,208.15
  6. Step 6: Final answer
    x = 784,936,812.23

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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.