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Finding the Fourth Proportional to 661,652,160.78, 992,626,257.33 and 201,626,333.58

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Solution

The fourth proportional to 661,652,160.78, 992,626,257.33 and 201,626,333.58 is: 302,484,605.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,652,160.78 : 992,626,257.33 = 201,626,333.58 : x
  2. Step 2: Convert to fraction form
    661,652,160.78/992,626,257.33 = 201,626,333.58/x
  3. Step 3: Cross multiply
    661,652,160.78x = 992,626,257.33 × 201,626,333.58
  4. Step 4: Simplify right side
    661,652,160.78x = 200,139,592,880,685,536
  5. Step 5: Solve for x
    x = 200,139,592,880,685,536/661,652,160.78
  6. Step 6: Final answer
    x = 302,484,605.57

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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.