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Finding the Fourth Proportional to 201,020,924.70, 280,855,338.30 and 201,020,924.70

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Solution

The fourth proportional to 201,020,924.70, 280,855,338.30 and 201,020,924.70 is: 280,855,338.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,020,924.70 : 280,855,338.30 = 201,020,924.70 : x
  2. Step 2: Convert to fraction form
    201,020,924.70/280,855,338.30 = 201,020,924.70/x
  3. Step 3: Cross multiply
    201,020,924.70x = 280,855,338.30 × 201,020,924.70
  4. Step 4: Simplify right side
    201,020,924.70x = 56,457,799,811,997,328
  5. Step 5: Solve for x
    x = 56,457,799,811,997,328/201,020,924.70
  6. Step 6: Final answer
    x = 280,855,338.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.