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Finding the Fourth Proportional to 3,109,156,965.65, 4,663,735,448.49 and 3,109,156,965.65

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Solution

The fourth proportional to 3,109,156,965.65, 4,663,735,448.49 and 3,109,156,965.65 is: 4,663,735,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109,156,965.65 : 4,663,735,448.49 = 3,109,156,965.65 : x
  2. Step 2: Convert to fraction form
    3,109,156,965.65/4,663,735,448.49 = 3,109,156,965.65/x
  3. Step 3: Cross multiply
    3,109,156,965.65x = 4,663,735,448.49 × 3,109,156,965.65
  4. Step 4: Simplify right side
    3,109,156,965.65x = 14,500,285,555,621,509,120
  5. Step 5: Solve for x
    x = 14,500,285,555,621,509,120/3,109,156,965.65
  6. Step 6: Final answer
    x = 4,663,735,448.49

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Double scale
Find fourth proportional to 3,109,156,966.65, 4,663,735,449.99 and 3,109,156,966.65
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.