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Finding the Fourth Proportional to 208,288,546.40, 312,432,819.60 and 208,288,546.40

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Solution

The fourth proportional to 208,288,546.40, 312,432,819.60 and 208,288,546.40 is: 312,432,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,288,546.40 : 312,432,819.60 = 208,288,546.40 : x
  2. Step 2: Convert to fraction form
    208,288,546.40/312,432,819.60 = 208,288,546.40/x
  3. Step 3: Cross multiply
    208,288,546.40x = 312,432,819.60 × 208,288,546.40
  4. Step 4: Simplify right side
    208,288,546.40x = 65,076,177,842,137,440
  5. Step 5: Solve for x
    x = 65,076,177,842,137,440/208,288,546.40
  6. Step 6: Final answer
    x = 312,432,819.60

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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.