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Finding the Fourth Proportional to 862,800,123.10, 1,294,200,184.65 and 862,800,123.10

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Solution

The fourth proportional to 862,800,123.10, 1,294,200,184.65 and 862,800,123.10 is: 1,294,200,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,800,123.10 : 1,294,200,184.65 = 862,800,123.10 : x
  2. Step 2: Convert to fraction form
    862,800,123.10/1,294,200,184.65 = 862,800,123.10/x
  3. Step 3: Cross multiply
    862,800,123.10x = 1,294,200,184.65 × 862,800,123.10
  4. Step 4: Simplify right side
    862,800,123.10x = 1,116,636,078,632,062,848
  5. Step 5: Solve for x
    x = 1,116,636,078,632,062,848/862,800,123.10
  6. Step 6: Final answer
    x = 1,294,200,184.65

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1.5x scale

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.