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Finding the Fourth Proportional to 311,042,211.60, 466,339,368.60 and 174,769,366.80

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Solution

The fourth proportional to 311,042,211.60, 466,339,368.60 and 174,769,366.80 is: 262,028,217.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,042,211.60 : 466,339,368.60 = 174,769,366.80 : x
  2. Step 2: Convert to fraction form
    311,042,211.60/466,339,368.60 = 174,769,366.80/x
  3. Step 3: Cross multiply
    311,042,211.60x = 466,339,368.60 × 174,769,366.80
  4. Step 4: Simplify right side
    311,042,211.60x = 81,501,836,164,133,808
  5. Step 5: Solve for x
    x = 81,501,836,164,133,808/311,042,211.60
  6. Step 6: Final answer
    x = 262,028,217.15

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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.