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Finding the Fourth Proportional to 265,778,849.60, 398,668,274.40 and 265,778,849.60

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Solution

The fourth proportional to 265,778,849.60, 398,668,274.40 and 265,778,849.60 is: 398,668,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,778,849.60 : 398,668,274.40 = 265,778,849.60 : x
  2. Step 2: Convert to fraction form
    265,778,849.60/398,668,274.40 = 265,778,849.60/x
  3. Step 3: Cross multiply
    265,778,849.60x = 398,668,274.40 × 265,778,849.60
  4. Step 4: Simplify right side
    265,778,849.60x = 105,957,595,342,049,120
  5. Step 5: Solve for x
    x = 105,957,595,342,049,120/265,778,849.60
  6. Step 6: Final answer
    x = 398,668,274.40

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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.