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Finding the Fourth Proportional to 265,736,573.80, 398,604,860.70 and 196,861,820.20

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Solution

The fourth proportional to 265,736,573.80, 398,604,860.70 and 196,861,820.20 is: 295,292,730.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,736,573.80 : 398,604,860.70 = 196,861,820.20 : x
  2. Step 2: Convert to fraction form
    265,736,573.80/398,604,860.70 = 196,861,820.20/x
  3. Step 3: Cross multiply
    265,736,573.80x = 398,604,860.70 × 196,861,820.20
  4. Step 4: Simplify right side
    265,736,573.80x = 78,470,078,417,969,440
  5. Step 5: Solve for x
    x = 78,470,078,417,969,440/265,736,573.80
  6. Step 6: Final answer
    x = 295,292,730.30

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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.