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Finding the Fourth Proportional to 200,809,823.40, 301,214,735.10 and 200,809,823.40

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Solution

The fourth proportional to 200,809,823.40, 301,214,735.10 and 200,809,823.40 is: 301,214,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,809,823.40 : 301,214,735.10 = 200,809,823.40 : x
  2. Step 2: Convert to fraction form
    200,809,823.40/301,214,735.10 = 200,809,823.40/x
  3. Step 3: Cross multiply
    200,809,823.40x = 301,214,735.10 × 200,809,823.40
  4. Step 4: Simplify right side
    200,809,823.40x = 60,486,877,760,908,784
  5. Step 5: Solve for x
    x = 60,486,877,760,908,784/200,809,823.40
  6. Step 6: Final answer
    x = 301,214,735.10

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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.