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Finding the Fourth Proportional to 378,410,475.60, 567,615,713.40 and 378,410,475.60

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Solution

The fourth proportional to 378,410,475.60, 567,615,713.40 and 378,410,475.60 is: 567,615,713.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,410,475.60 : 567,615,713.40 = 378,410,475.60 : x
  2. Step 2: Convert to fraction form
    378,410,475.60/567,615,713.40 = 378,410,475.60/x
  3. Step 3: Cross multiply
    378,410,475.60x = 567,615,713.40 × 378,410,475.60
  4. Step 4: Simplify right side
    378,410,475.60x = 214,791,732,065,727,296
  5. Step 5: Solve for x
    x = 214,791,732,065,727,296/378,410,475.60
  6. Step 6: Final answer
    x = 567,615,713.40

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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.