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Finding the Fourth Proportional to 854,631,947.70, 1,199,205,704.70 and 854,631,947.70

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Solution

The fourth proportional to 854,631,947.70, 1,199,205,704.70 and 854,631,947.70 is: 1,199,205,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,631,947.70 : 1,199,205,704.70 = 854,631,947.70 : x
  2. Step 2: Convert to fraction form
    854,631,947.70/1,199,205,704.70 = 854,631,947.70/x
  3. Step 3: Cross multiply
    854,631,947.70x = 1,199,205,704.70 × 854,631,947.70
  4. Step 4: Simplify right side
    854,631,947.70x = 1,024,879,507,100,712,192
  5. Step 5: Solve for x
    x = 1,024,879,507,100,712,192/854,631,947.70
  6. Step 6: Final answer
    x = 1,199,205,704.70

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.