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Finding the Fourth Proportional to 211,258,432,849.20, 316,887,649,273.80 and 211,258,432,849.20

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Solution

The fourth proportional to 211,258,432,849.20, 316,887,649,273.80 and 211,258,432,849.20 is: 316,887,649,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,258,432,849.20 : 316,887,649,273.80 = 211,258,432,849.20 : x
  2. Step 2: Convert to fraction form
    211,258,432,849.20/316,887,649,273.80 = 211,258,432,849.20/x
  3. Step 3: Cross multiply
    211,258,432,849.20x = 316,887,649,273.80 × 211,258,432,849.20
  4. Step 4: Simplify right side
    211,258,432,849.20x = 66,945,188,174,849,919,418,368
  5. Step 5: Solve for x
    x = 66,945,188,174,849,919,418,368/211,258,432,849.20
  6. Step 6: Final answer
    x = 316,887,649,273.80

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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.