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Finding the Fourth Proportional to 212,392,692,000.10, 318,589,038,000.20 and 212,392,692,000.10

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Solution

The fourth proportional to 212,392,692,000.10, 318,589,038,000.20 and 212,392,692,000.10 is: 318,589,038,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,392,692,000.10 : 318,589,038,000.20 = 212,392,692,000.10 : x
  2. Step 2: Convert to fraction form
    212,392,692,000.10/318,589,038,000.20 = 212,392,692,000.10/x
  3. Step 3: Cross multiply
    212,392,692,000.10x = 318,589,038,000.20 × 212,392,692,000.10
  4. Step 4: Simplify right side
    212,392,692,000.10x = 67,665,983,422,584,636,571,648
  5. Step 5: Solve for x
    x = 67,665,983,422,584,636,571,648/212,392,692,000.10
  6. Step 6: Final answer
    x = 318,589,038,000.20

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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.