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Finding the Fourth Proportional to 265,736,803.80, 398,605,205.70 and 196,862,050.20

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Solution

The fourth proportional to 265,736,803.80, 398,605,205.70 and 196,862,050.20 is: 295,293,075.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,736,803.80 : 398,605,205.70 = 196,862,050.20 : x
  2. Step 2: Convert to fraction form
    265,736,803.80/398,605,205.70 = 196,862,050.20/x
  3. Step 3: Cross multiply
    265,736,803.80x = 398,605,205.70 × 196,862,050.20
  4. Step 4: Simplify right side
    265,736,803.80x = 78,470,238,014,494,720
  5. Step 5: Solve for x
    x = 78,470,238,014,494,720/265,736,803.80
  6. Step 6: Final answer
    x = 295,293,075.30

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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.