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Finding the Fourth Proportional to 565,462,794.40, 848,194,191.60 and 457,967,370.40

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Solution

The fourth proportional to 565,462,794.40, 848,194,191.60 and 457,967,370.40 is: 686,951,055.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,462,794.40 : 848,194,191.60 = 457,967,370.40 : x
  2. Step 2: Convert to fraction form
    565,462,794.40/848,194,191.60 = 457,967,370.40/x
  3. Step 3: Cross multiply
    565,462,794.40x = 848,194,191.60 × 457,967,370.40
  4. Step 4: Simplify right side
    565,462,794.40x = 388,445,263,515,605,760
  5. Step 5: Solve for x
    x = 388,445,263,515,605,760/565,462,794.40
  6. Step 6: Final answer
    x = 686,951,055.60

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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.