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Finding the Fourth Proportional to 201,435,309.60, 302,152,964.40 and 201,435,309.60

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Solution

The fourth proportional to 201,435,309.60, 302,152,964.40 and 201,435,309.60 is: 302,152,964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,435,309.60 : 302,152,964.40 = 201,435,309.60 : x
  2. Step 2: Convert to fraction form
    201,435,309.60/302,152,964.40 = 201,435,309.60/x
  3. Step 3: Cross multiply
    201,435,309.60x = 302,152,964.40 × 201,435,309.60
  4. Step 4: Simplify right side
    201,435,309.60x = 60,864,275,930,471,768
  5. Step 5: Solve for x
    x = 60,864,275,930,471,768/201,435,309.60
  6. Step 6: Final answer
    x = 302,152,964.40

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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.