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Finding the Fourth Proportional to 209,952,169.80, 314,928,254.70 and 196,347,280.20

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Solution

The fourth proportional to 209,952,169.80, 314,928,254.70 and 196,347,280.20 is: 294,520,920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,169.80 : 314,928,254.70 = 196,347,280.20 : x
  2. Step 2: Convert to fraction form
    209,952,169.80/314,928,254.70 = 196,347,280.20/x
  3. Step 3: Cross multiply
    209,952,169.80x = 314,928,254.70 × 196,347,280.20
  4. Step 4: Simplify right side
    209,952,169.80x = 61,835,306,268,477,864
  5. Step 5: Solve for x
    x = 61,835,306,268,477,864/209,952,169.80
  6. Step 6: Final answer
    x = 294,520,920.30

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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.