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Finding the Fourth Proportional to 178,139,645,603.20, 267,209,468,404.80 and 178,139,645,603.20

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Solution

The fourth proportional to 178,139,645,603.20, 267,209,468,404.80 and 178,139,645,603.20 is: 267,209,468,404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,139,645,603.20 : 267,209,468,404.80 = 178,139,645,603.20 : x
  2. Step 2: Convert to fraction form
    178,139,645,603.20/267,209,468,404.80 = 178,139,645,603.20/x
  3. Step 3: Cross multiply
    178,139,645,603.20x = 267,209,468,404.80 × 178,139,645,603.20
  4. Step 4: Simplify right side
    178,139,645,603.20x = 47,600,600,003,450,536,722,432
  5. Step 5: Solve for x
    x = 47,600,600,003,450,536,722,432/178,139,645,603.20
  6. Step 6: Final answer
    x = 267,209,468,404.80

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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.