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Finding the Fourth Proportional to 3,109,156,959.15, 4,663,735,438.73 and 3,109,156,959.15

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Solution

The fourth proportional to 3,109,156,959.15, 4,663,735,438.73 and 3,109,156,959.15 is: 4,663,735,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109,156,959.15 : 4,663,735,438.73 = 3,109,156,959.15 : x
  2. Step 2: Convert to fraction form
    3,109,156,959.15/4,663,735,438.73 = 3,109,156,959.15/x
  3. Step 3: Cross multiply
    3,109,156,959.15x = 4,663,735,438.73 × 3,109,156,959.15
  4. Step 4: Simplify right side
    3,109,156,959.15x = 14,500,285,494,946,314,240
  5. Step 5: Solve for x
    x = 14,500,285,494,946,314,240/3,109,156,959.15
  6. Step 6: Final answer
    x = 4,663,735,438.73

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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.