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Finding the Fourth Proportional to 211,258,432,847.70, 316,887,649,271.55 and 211,258,432,847.70

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Solution

The fourth proportional to 211,258,432,847.70, 316,887,649,271.55 and 211,258,432,847.70 is: 316,887,649,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,258,432,847.70 : 316,887,649,271.55 = 211,258,432,847.70 : x
  2. Step 2: Convert to fraction form
    211,258,432,847.70/316,887,649,271.55 = 211,258,432,847.70/x
  3. Step 3: Cross multiply
    211,258,432,847.70x = 316,887,649,271.55 × 211,258,432,847.70
  4. Step 4: Simplify right side
    211,258,432,847.70x = 66,945,188,173,899,255,250,944
  5. Step 5: Solve for x
    x = 66,945,188,173,899,255,250,944/211,258,432,847.70
  6. Step 6: Final answer
    x = 316,887,649,271.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.