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Finding the Fourth Proportional to 418,661,100.40, 577,597,351.60 and 418,015,410.52

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Solution

The fourth proportional to 418,661,100.40, 577,597,351.60 and 418,015,410.52 is: 576,706,538.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,661,100.40 : 577,597,351.60 = 418,015,410.52 : x
  2. Step 2: Convert to fraction form
    418,661,100.40/577,597,351.60 = 418,015,410.52/x
  3. Step 3: Cross multiply
    418,661,100.40x = 577,597,351.60 × 418,015,410.52
  4. Step 4: Simplify right side
    418,661,100.40x = 241,444,594,044,338,784
  5. Step 5: Solve for x
    x = 241,444,594,044,338,784/418,661,100.40
  6. Step 6: Final answer
    x = 576,706,538.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.