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Finding the Fourth Proportional to 30,269,027.70, 42,280,979.40 and 30,269,027.70

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Solution

The fourth proportional to 30,269,027.70, 42,280,979.40 and 30,269,027.70 is: 42,280,979.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,269,027.70 : 42,280,979.40 = 30,269,027.70 : x
  2. Step 2: Convert to fraction form
    30,269,027.70/42,280,979.40 = 30,269,027.70/x
  3. Step 3: Cross multiply
    30,269,027.70x = 42,280,979.40 × 30,269,027.70
  4. Step 4: Simplify right side
    30,269,027.70x = 1,279,804,136,641,729.25
  5. Step 5: Solve for x
    x = 1,279,804,136,641,729.25/30,269,027.70
  6. Step 6: Final answer
    x = 42,280,979.40

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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.