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Finding the Fourth Proportional to 265,787,410.80, 398,681,116.20 and 265,787,410.80

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Solution

The fourth proportional to 265,787,410.80, 398,681,116.20 and 265,787,410.80 is: 398,681,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,787,410.80 : 398,681,116.20 = 265,787,410.80 : x
  2. Step 2: Convert to fraction form
    265,787,410.80/398,681,116.20 = 265,787,410.80/x
  3. Step 3: Cross multiply
    265,787,410.80x = 398,681,116.20 × 265,787,410.80
  4. Step 4: Simplify right side
    265,787,410.80x = 105,964,421,609,651,936
  5. Step 5: Solve for x
    x = 105,964,421,609,651,936/265,787,410.80
  6. Step 6: Final answer
    x = 398,681,116.20

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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.