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Finding the Fourth Proportional to 267,142,473,140.55, 400,713,709,710.82 and 267,142,473,140.55

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Solution

The fourth proportional to 267,142,473,140.55, 400,713,709,710.82 and 267,142,473,140.55 is: 400,713,709,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,142,473,140.55 : 400,713,709,710.82 = 267,142,473,140.55 : x
  2. Step 2: Convert to fraction form
    267,142,473,140.55/400,713,709,710.82 = 267,142,473,140.55/x
  3. Step 3: Cross multiply
    267,142,473,140.55x = 400,713,709,710.82 × 267,142,473,140.55
  4. Step 4: Simplify right side
    267,142,473,140.55x = 107,047,651,433,472,879,230,976
  5. Step 5: Solve for x
    x = 107,047,651,433,472,879,230,976/267,142,473,140.55
  6. Step 6: Final answer
    x = 400,713,709,710.82

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1.5x scale

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.