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Finding the Fourth Proportional to 965,998,025.10, 1,448,997,037.65 and 965,998,025.10

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Solution

The fourth proportional to 965,998,025.10, 1,448,997,037.65 and 965,998,025.10 is: 1,448,997,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,998,025.10 : 1,448,997,037.65 = 965,998,025.10 : x
  2. Step 2: Convert to fraction form
    965,998,025.10/1,448,997,037.65 = 965,998,025.10/x
  3. Step 3: Cross multiply
    965,998,025.10x = 1,448,997,037.65 × 965,998,025.10
  4. Step 4: Simplify right side
    965,998,025.10x = 1,399,728,276,745,650,432
  5. Step 5: Solve for x
    x = 1,399,728,276,745,650,432/965,998,025.10
  6. Step 6: Final answer
    x = 1,448,997,037.65

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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.