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Finding the Fourth Proportional to 201,770,004.90, 302,176,710.45 and 201,770,004.90

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Solution

The fourth proportional to 201,770,004.90, 302,176,710.45 and 201,770,004.90 is: 302,176,710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,770,004.90 : 302,176,710.45 = 201,770,004.90 : x
  2. Step 2: Convert to fraction form
    201,770,004.90/302,176,710.45 = 201,770,004.90/x
  3. Step 3: Cross multiply
    201,770,004.90x = 302,176,710.45 × 201,770,004.90
  4. Step 4: Simplify right side
    201,770,004.90x = 60,970,196,348,162,384
  5. Step 5: Solve for x
    x = 60,970,196,348,162,384/201,770,004.90
  6. Step 6: Final answer
    x = 302,176,710.45

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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.