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Finding the Fourth Proportional to 267,057,065.80, 400,585,598.70 and 201,583,534.60

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Solution

The fourth proportional to 267,057,065.80, 400,585,598.70 and 201,583,534.60 is: 302,375,301.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,057,065.80 : 400,585,598.70 = 201,583,534.60 : x
  2. Step 2: Convert to fraction form
    267,057,065.80/400,585,598.70 = 201,583,534.60/x
  3. Step 3: Cross multiply
    267,057,065.80x = 400,585,598.70 × 201,583,534.60
  4. Step 4: Simplify right side
    267,057,065.80x = 80,751,460,895,803,168
  5. Step 5: Solve for x
    x = 80,751,460,895,803,168/267,057,065.80
  6. Step 6: Final answer
    x = 302,375,301.90

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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.