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Finding the Fourth Proportional to 201,819,879.40, 283,313,106.20 and 201,819,879.40

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Solution

The fourth proportional to 201,819,879.40, 283,313,106.20 and 201,819,879.40 is: 283,313,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,819,879.40 : 283,313,106.20 = 201,819,879.40 : x
  2. Step 2: Convert to fraction form
    201,819,879.40/283,313,106.20 = 201,819,879.40/x
  3. Step 3: Cross multiply
    201,819,879.40x = 283,313,106.20 × 201,819,879.40
  4. Step 4: Simplify right side
    201,819,879.40x = 57,178,216,925,723,392
  5. Step 5: Solve for x
    x = 57,178,216,925,723,392/201,819,879.40
  6. Step 6: Final answer
    x = 283,313,106.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.