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Finding the Fourth Proportional to 289,742,713.60, 434,614,070.40 and 174,668,022.40

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Solution

The fourth proportional to 289,742,713.60, 434,614,070.40 and 174,668,022.40 is: 262,002,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,742,713.60 : 434,614,070.40 = 174,668,022.40 : x
  2. Step 2: Convert to fraction form
    289,742,713.60/434,614,070.40 = 174,668,022.40/x
  3. Step 3: Cross multiply
    289,742,713.60x = 434,614,070.40 × 174,668,022.40
  4. Step 4: Simplify right side
    289,742,713.60x = 75,913,180,183,982,368
  5. Step 5: Solve for x
    x = 75,913,180,183,982,368/289,742,713.60
  6. Step 6: Final answer
    x = 262,002,033.60

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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.