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Finding the Fourth Proportional to 289,789,209.20, 434,683,813.80 and 261,123,762.80

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Solution

The fourth proportional to 289,789,209.20, 434,683,813.80 and 261,123,762.80 is: 391,685,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,789,209.20 : 434,683,813.80 = 261,123,762.80 : x
  2. Step 2: Convert to fraction form
    289,789,209.20/434,683,813.80 = 261,123,762.80/x
  3. Step 3: Cross multiply
    289,789,209.20x = 434,683,813.80 × 261,123,762.80
  4. Step 4: Simplify right side
    289,789,209.20x = 113,506,273,087,710,576
  5. Step 5: Solve for x
    x = 113,506,273,087,710,576/289,789,209.20
  6. Step 6: Final answer
    x = 391,685,644.20

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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.