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Finding the Fourth Proportional to 213,863,014,811.40, 320,794,522,217.10 and 213,863,014,811.40

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Solution

The fourth proportional to 213,863,014,811.40, 320,794,522,217.10 and 213,863,014,811.40 is: 320,794,522,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,863,014,811.40 : 320,794,522,217.10 = 213,863,014,811.40 : x
  2. Step 2: Convert to fraction form
    213,863,014,811.40/320,794,522,217.10 = 213,863,014,811.40/x
  3. Step 3: Cross multiply
    213,863,014,811.40x = 320,794,522,217.10 × 213,863,014,811.40
  4. Step 4: Simplify right side
    213,863,014,811.40x = 68,606,083,656,331,634,409,472
  5. Step 5: Solve for x
    x = 68,606,083,656,331,634,409,472/213,863,014,811.40
  6. Step 6: Final answer
    x = 320,794,522,217.10

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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.