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Finding the Fourth Proportional to 201,892,512.80, 302,838,769.20 and 201,892,512.80

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Solution

The fourth proportional to 201,892,512.80, 302,838,769.20 and 201,892,512.80 is: 302,838,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,892,512.80 : 302,838,769.20 = 201,892,512.80 : x
  2. Step 2: Convert to fraction form
    201,892,512.80/302,838,769.20 = 201,892,512.80/x
  3. Step 3: Cross multiply
    201,892,512.80x = 302,838,769.20 × 201,892,512.80
  4. Step 4: Simplify right side
    201,892,512.80x = 61,140,880,087,047,248
  5. Step 5: Solve for x
    x = 61,140,880,087,047,248/201,892,512.80
  6. Step 6: Final answer
    x = 302,838,769.20

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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.