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Finding the Fourth Proportional to 1,002,846,468.15, 1,504,269,702.23 and 1,002,846,468.15

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Solution

The fourth proportional to 1,002,846,468.15, 1,504,269,702.23 and 1,002,846,468.15 is: 1,504,269,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,846,468.15 : 1,504,269,702.23 = 1,002,846,468.15 : x
  2. Step 2: Convert to fraction form
    1,002,846,468.15/1,504,269,702.23 = 1,002,846,468.15/x
  3. Step 3: Cross multiply
    1,002,846,468.15x = 1,504,269,702.23 × 1,002,846,468.15
  4. Step 4: Simplify right side
    1,002,846,468.15x = 1,508,551,558,021,393,408
  5. Step 5: Solve for x
    x = 1,508,551,558,021,393,408/1,002,846,468.15
  6. Step 6: Final answer
    x = 1,504,269,702.23

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Double scale
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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.