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Finding the Fourth Proportional to 235,453,392,000.20, 353,180,088,000.30 and 235,453,392,000.20

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Solution

The fourth proportional to 235,453,392,000.20, 353,180,088,000.30 and 235,453,392,000.20 is: 353,180,088,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,453,392,000.20 : 353,180,088,000.30 = 235,453,392,000.20 : x
  2. Step 2: Convert to fraction form
    235,453,392,000.20/353,180,088,000.30 = 235,453,392,000.20/x
  3. Step 3: Cross multiply
    235,453,392,000.20x = 353,180,088,000.30 × 235,453,392,000.20
  4. Step 4: Simplify right side
    235,453,392,000.20x = 83,157,449,706,599,775,993,856
  5. Step 5: Solve for x
    x = 83,157,449,706,599,775,993,856/235,453,392,000.20
  6. Step 6: Final answer
    x = 353,180,088,000.30

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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.