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Finding the Fourth Proportional to 653,424,027.60, 978,941,647.80 and 531,595,880.40

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Solution

The fourth proportional to 653,424,027.60, 978,941,647.80 and 531,595,880.40 is: 796,422,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,424,027.60 : 978,941,647.80 = 531,595,880.40 : x
  2. Step 2: Convert to fraction form
    653,424,027.60/978,941,647.80 = 531,595,880.40/x
  3. Step 3: Cross multiply
    653,424,027.60x = 978,941,647.80 × 531,595,880.40
  4. Step 4: Simplify right side
    653,424,027.60x = 520,401,347,122,467,648
  5. Step 5: Solve for x
    x = 520,401,347,122,467,648/653,424,027.60
  6. Step 6: Final answer
    x = 796,422,116.64

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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.