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Finding the Fourth Proportional to 267,142,473,114.68, 400,713,709,672.01 and 267,142,473,114.68

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Solution

The fourth proportional to 267,142,473,114.68, 400,713,709,672.01 and 267,142,473,114.68 is: 400,713,709,672.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,142,473,114.68 : 400,713,709,672.01 = 267,142,473,114.68 : x
  2. Step 2: Convert to fraction form
    267,142,473,114.68/400,713,709,672.01 = 267,142,473,114.68/x
  3. Step 3: Cross multiply
    267,142,473,114.68x = 400,713,709,672.01 × 267,142,473,114.68
  4. Step 4: Simplify right side
    267,142,473,114.68x = 107,047,651,412,738,622,619,648
  5. Step 5: Solve for x
    x = 107,047,651,412,738,622,619,648/267,142,473,114.68
  6. Step 6: Final answer
    x = 400,713,709,672.01

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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.