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Finding the Fourth Proportional to 265,778,844.30, 398,668,266.45 and 265,778,844.30

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Solution

The fourth proportional to 265,778,844.30, 398,668,266.45 and 265,778,844.30 is: 398,668,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,778,844.30 : 398,668,266.45 = 265,778,844.30 : x
  2. Step 2: Convert to fraction form
    265,778,844.30/398,668,266.45 = 265,778,844.30/x
  3. Step 3: Cross multiply
    265,778,844.30x = 398,668,266.45 × 265,778,844.30
  4. Step 4: Simplify right side
    265,778,844.30x = 105,957,591,116,165,472
  5. Step 5: Solve for x
    x = 105,957,591,116,165,472/265,778,844.30
  6. Step 6: Final answer
    x = 398,668,266.45

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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.