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Finding the Fourth Proportional to 523,291,204.65, 784,936,806.98 and 523,291,204.65

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Solution

The fourth proportional to 523,291,204.65, 784,936,806.98 and 523,291,204.65 is: 784,936,806.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,291,204.65 : 784,936,806.98 = 523,291,204.65 : x
  2. Step 2: Convert to fraction form
    523,291,204.65/784,936,806.98 = 523,291,204.65/x
  3. Step 3: Cross multiply
    523,291,204.65x = 784,936,806.98 × 523,291,204.65
  4. Step 4: Simplify right side
    523,291,204.65x = 410,750,527,296,072,256
  5. Step 5: Solve for x
    x = 410,750,527,296,072,256/523,291,204.65
  6. Step 6: Final answer
    x = 784,936,806.98

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.