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Finding the Fourth Proportional to 419,907,711.60, 629,861,567.40 and 189,884,300.40

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Solution

The fourth proportional to 419,907,711.60, 629,861,567.40 and 189,884,300.40 is: 284,826,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,907,711.60 : 629,861,567.40 = 189,884,300.40 : x
  2. Step 2: Convert to fraction form
    419,907,711.60/629,861,567.40 = 189,884,300.40/x
  3. Step 3: Cross multiply
    419,907,711.60x = 629,861,567.40 × 189,884,300.40
  4. Step 4: Simplify right side
    419,907,711.60x = 119,600,823,074,596,448
  5. Step 5: Solve for x
    x = 119,600,823,074,596,448/419,907,711.60
  6. Step 6: Final answer
    x = 284,826,450.60

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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.