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Finding the Fourth Proportional to 330,783,122.60, 496,174,683.90 and 330,783,122.60

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Solution

The fourth proportional to 330,783,122.60, 496,174,683.90 and 330,783,122.60 is: 496,174,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,783,122.60 : 496,174,683.90 = 330,783,122.60 : x
  2. Step 2: Convert to fraction form
    330,783,122.60/496,174,683.90 = 330,783,122.60/x
  3. Step 3: Cross multiply
    330,783,122.60x = 496,174,683.90 × 330,783,122.60
  4. Step 4: Simplify right side
    330,783,122.60x = 164,126,211,295,509,952
  5. Step 5: Solve for x
    x = 164,126,211,295,509,952/330,783,122.60
  6. Step 6: Final answer
    x = 496,174,683.90

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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.