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Finding the Fourth Proportional to 384,368,292.80, 576,552,439.20 and 319,745,067.20

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Solution

The fourth proportional to 384,368,292.80, 576,552,439.20 and 319,745,067.20 is: 479,617,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,368,292.80 : 576,552,439.20 = 319,745,067.20 : x
  2. Step 2: Convert to fraction form
    384,368,292.80/576,552,439.20 = 319,745,067.20/x
  3. Step 3: Cross multiply
    384,368,292.80x = 576,552,439.20 × 319,745,067.20
  4. Step 4: Simplify right side
    384,368,292.80x = 184,349,798,416,327,936
  5. Step 5: Solve for x
    x = 184,349,798,416,327,936/384,368,292.80
  6. Step 6: Final answer
    x = 479,617,600.80

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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.