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Finding the Fourth Proportional to 565,863,163.59, 780,891,201.76 and 314,962,154.21

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Solution

The fourth proportional to 565,863,163.59, 780,891,201.76 and 314,962,154.21 is: 434,647,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,863,163.59 : 780,891,201.76 = 314,962,154.21 : x
  2. Step 2: Convert to fraction form
    565,863,163.59/780,891,201.76 = 314,962,154.21/x
  3. Step 3: Cross multiply
    565,863,163.59x = 780,891,201.76 × 314,962,154.21
  4. Step 4: Simplify right side
    565,863,163.59x = 245,951,175,111,130,176
  5. Step 5: Solve for x
    x = 245,951,175,111,130,176/565,863,163.59
  6. Step 6: Final answer
    x = 434,647,792.85

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Why These Related Problems?

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