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Finding the Fourth Proportional to 291,348,004.20, 437,022,006.30 and 291,348,004.20

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Solution

The fourth proportional to 291,348,004.20, 437,022,006.30 and 291,348,004.20 is: 437,022,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,348,004.20 : 437,022,006.30 = 291,348,004.20 : x
  2. Step 2: Convert to fraction form
    291,348,004.20/437,022,006.30 = 291,348,004.20/x
  3. Step 3: Cross multiply
    291,348,004.20x = 437,022,006.30 × 291,348,004.20
  4. Step 4: Simplify right side
    291,348,004.20x = 127,325,489,326,984,832
  5. Step 5: Solve for x
    x = 127,325,489,326,984,832/291,348,004.20
  6. Step 6: Final answer
    x = 437,022,006.30

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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.