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Finding the Fourth Proportional to 378,434,334.40, 567,651,501.60 and 378,434,334.40

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Solution

The fourth proportional to 378,434,334.40, 567,651,501.60 and 378,434,334.40 is: 567,651,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,434,334.40 : 567,651,501.60 = 378,434,334.40 : x
  2. Step 2: Convert to fraction form
    378,434,334.40/567,651,501.60 = 378,434,334.40/x
  3. Step 3: Cross multiply
    378,434,334.40x = 567,651,501.60 × 378,434,334.40
  4. Step 4: Simplify right side
    378,434,334.40x = 214,818,818,179,156,544
  5. Step 5: Solve for x
    x = 214,818,818,179,156,544/378,434,334.40
  6. Step 6: Final answer
    x = 567,651,501.60

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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.