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Finding the Fourth Proportional to 400,993,497.60, 601,406,265.60 and 196,668,211.20

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Solution

The fourth proportional to 400,993,497.60, 601,406,265.60 and 196,668,211.20 is: 294,961,128.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,993,497.60 : 601,406,265.60 = 196,668,211.20 : x
  2. Step 2: Convert to fraction form
    400,993,497.60/601,406,265.60 = 196,668,211.20/x
  3. Step 3: Cross multiply
    400,993,497.60x = 601,406,265.60 × 196,668,211.20
  4. Step 4: Simplify right side
    400,993,497.60x = 118,277,494,460,024,096
  5. Step 5: Solve for x
    x = 118,277,494,460,024,096/400,993,497.60
  6. Step 6: Final answer
    x = 294,961,128.22

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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.