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Finding the Fourth Proportional to 209,952,200.40, 314,928,300.60 and 189,863,730.60

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Solution

The fourth proportional to 209,952,200.40, 314,928,300.60 and 189,863,730.60 is: 284,795,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,200.40 : 314,928,300.60 = 189,863,730.60 : x
  2. Step 2: Convert to fraction form
    209,952,200.40/314,928,300.60 = 189,863,730.60/x
  3. Step 3: Cross multiply
    209,952,200.40x = 314,928,300.60 × 189,863,730.60
  4. Step 4: Simplify right side
    209,952,200.40x = 59,793,462,023,434,224
  5. Step 5: Solve for x
    x = 59,793,462,023,434,224/209,952,200.40
  6. Step 6: Final answer
    x = 284,795,595.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.