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Finding the Fourth Proportional to 265,778,847.30, 398,668,270.95 and 265,778,847.30

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Solution

The fourth proportional to 265,778,847.30, 398,668,270.95 and 265,778,847.30 is: 398,668,270.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,778,847.30 : 398,668,270.95 = 265,778,847.30 : x
  2. Step 2: Convert to fraction form
    265,778,847.30/398,668,270.95 = 265,778,847.30/x
  3. Step 3: Cross multiply
    265,778,847.30x = 398,668,270.95 × 265,778,847.30
  4. Step 4: Simplify right side
    265,778,847.30x = 105,957,593,508,175,072
  5. Step 5: Solve for x
    x = 105,957,593,508,175,072/265,778,847.30
  6. Step 6: Final answer
    x = 398,668,270.95

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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.