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Finding the Fourth Proportional to 3,109,156,983.04, 4,663,735,474.54 and 3,109,156,983.04

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Solution

The fourth proportional to 3,109,156,983.04, 4,663,735,474.54 and 3,109,156,983.04 is: 4,663,735,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109,156,983.04 : 4,663,735,474.54 = 3,109,156,983.04 : x
  2. Step 2: Convert to fraction form
    3,109,156,983.04/4,663,735,474.54 = 3,109,156,983.04/x
  3. Step 3: Cross multiply
    3,109,156,983.04x = 4,663,735,474.54 × 3,109,156,983.04
  4. Step 4: Simplify right side
    3,109,156,983.04x = 14,500,285,717,717,409,792
  5. Step 5: Solve for x
    x = 14,500,285,717,717,409,792/3,109,156,983.04
  6. Step 6: Final answer
    x = 4,663,735,474.54

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Double scale
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Similar ratio
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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.