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Finding the Fourth Proportional to 289,742,793.60, 434,614,190.40 and 174,668,102.40

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Solution

The fourth proportional to 289,742,793.60, 434,614,190.40 and 174,668,102.40 is: 262,002,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,742,793.60 : 434,614,190.40 = 174,668,102.40 : x
  2. Step 2: Convert to fraction form
    289,742,793.60/434,614,190.40 = 174,668,102.40/x
  3. Step 3: Cross multiply
    289,742,793.60x = 434,614,190.40 × 174,668,102.40
  4. Step 4: Simplify right side
    289,742,793.60x = 75,913,235,913,280,288
  5. Step 5: Solve for x
    x = 75,913,235,913,280,288/289,742,793.60
  6. Step 6: Final answer
    x = 262,002,153.60

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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.