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Finding the Fourth Proportional to 965,783,091.05, 1,448,674,636.58 and 965,783,091.05

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Solution

The fourth proportional to 965,783,091.05, 1,448,674,636.58 and 965,783,091.05 is: 1,448,674,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,783,091.05 : 1,448,674,636.58 = 965,783,091.05 : x
  2. Step 2: Convert to fraction form
    965,783,091.05/1,448,674,636.58 = 965,783,091.05/x
  3. Step 3: Cross multiply
    965,783,091.05x = 1,448,674,636.58 × 965,783,091.05
  4. Step 4: Simplify right side
    965,783,091.05x = 1,399,105,468,437,138,944
  5. Step 5: Solve for x
    x = 1,399,105,468,437,138,944/965,783,091.05
  6. Step 6: Final answer
    x = 1,448,674,636.58

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Double scale
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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.