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Finding the Fourth Proportional to 180,217,680.30, 252,878,708.70 and 180,217,680.30

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Solution

The fourth proportional to 180,217,680.30, 252,878,708.70 and 180,217,680.30 is: 252,878,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,217,680.30 : 252,878,708.70 = 180,217,680.30 : x
  2. Step 2: Convert to fraction form
    180,217,680.30/252,878,708.70 = 180,217,680.30/x
  3. Step 3: Cross multiply
    180,217,680.30x = 252,878,708.70 × 180,217,680.30
  4. Step 4: Simplify right side
    180,217,680.30x = 45,573,214,279,173,432
  5. Step 5: Solve for x
    x = 45,573,214,279,173,432/180,217,680.30
  6. Step 6: Final answer
    x = 252,878,708.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.