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Finding the Fourth Proportional to 211,258,432,848.70, 316,887,649,273.05 and 211,258,432,848.70

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Solution

The fourth proportional to 211,258,432,848.70, 316,887,649,273.05 and 211,258,432,848.70 is: 316,887,649,273.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,258,432,848.70 : 316,887,649,273.05 = 211,258,432,848.70 : x
  2. Step 2: Convert to fraction form
    211,258,432,848.70/316,887,649,273.05 = 211,258,432,848.70/x
  3. Step 3: Cross multiply
    211,258,432,848.70x = 316,887,649,273.05 × 211,258,432,848.70
  4. Step 4: Simplify right side
    211,258,432,848.70x = 66,945,188,174,533,031,362,560
  5. Step 5: Solve for x
    x = 66,945,188,174,533,031,362,560/211,258,432,848.70
  6. Step 6: Final answer
    x = 316,887,649,273.05

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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.