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Finding the Fourth Proportional to 200,570,419.20, 300,855,628.80 and 183,351,730.80

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Solution

The fourth proportional to 200,570,419.20, 300,855,628.80 and 183,351,730.80 is: 275,027,596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,570,419.20 : 300,855,628.80 = 183,351,730.80 : x
  2. Step 2: Convert to fraction form
    200,570,419.20/300,855,628.80 = 183,351,730.80/x
  3. Step 3: Cross multiply
    200,570,419.20x = 300,855,628.80 × 183,351,730.80
  4. Step 4: Simplify right side
    200,570,419.20x = 55,162,400,261,402,336
  5. Step 5: Solve for x
    x = 55,162,400,261,402,336/200,570,419.20
  6. Step 6: Final answer
    x = 275,027,596.20

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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.