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Finding the Fourth Proportional to 499,232,893.80, 747,505,647.90 and 499,232,893.80

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Solution

The fourth proportional to 499,232,893.80, 747,505,647.90 and 499,232,893.80 is: 747,505,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,232,893.80 : 747,505,647.90 = 499,232,893.80 : x
  2. Step 2: Convert to fraction form
    499,232,893.80/747,505,647.90 = 499,232,893.80/x
  3. Step 3: Cross multiply
    499,232,893.80x = 747,505,647.90 × 499,232,893.80
  4. Step 4: Simplify right side
    499,232,893.80x = 373,179,407,732,960,896
  5. Step 5: Solve for x
    x = 373,179,407,732,960,896/499,232,893.80
  6. Step 6: Final answer
    x = 747,505,647.90

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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.