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Finding the Fourth Proportional to 245,198,016,000.40, 367,797,024,000.60 and 245,198,016,000.40

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Solution

The fourth proportional to 245,198,016,000.40, 367,797,024,000.60 and 245,198,016,000.40 is: 367,797,024,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,198,016,000.40 : 367,797,024,000.60 = 245,198,016,000.40 : x
  2. Step 2: Convert to fraction form
    245,198,016,000.40/367,797,024,000.60 = 245,198,016,000.40/x
  3. Step 3: Cross multiply
    245,198,016,000.40x = 367,797,024,000.60 × 245,198,016,000.40
  4. Step 4: Simplify right side
    245,198,016,000.40x = 90,183,100,575,798,611,935,232
  5. Step 5: Solve for x
    x = 90,183,100,575,798,611,935,232/245,198,016,000.40
  6. Step 6: Final answer
    x = 367,797,024,000.60

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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.