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Finding the Fourth Proportional to 565,863,164.59, 780,891,203.14 and 314,962,155.21

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Solution

The fourth proportional to 565,863,164.59, 780,891,203.14 and 314,962,155.21 is: 434,647,794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,863,164.59 : 780,891,203.14 = 314,962,155.21 : x
  2. Step 2: Convert to fraction form
    565,863,164.59/780,891,203.14 = 314,962,155.21/x
  3. Step 3: Cross multiply
    565,863,164.59x = 780,891,203.14 × 314,962,155.21
  4. Step 4: Simplify right side
    565,863,164.59x = 245,951,176,325,504,288
  5. Step 5: Solve for x
    x = 245,951,176,325,504,288/565,863,164.59
  6. Step 6: Final answer
    x = 434,647,794.23

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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.