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Finding the Fourth Proportional to 13,546,302,603.40, 20,319,453,905.10 and 13,546,302,603.40

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Solution

The fourth proportional to 13,546,302,603.40, 20,319,453,905.10 and 13,546,302,603.40 is: 20,319,453,905.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546,302,603.40 : 20,319,453,905.10 = 13,546,302,603.40 : x
  2. Step 2: Convert to fraction form
    13,546,302,603.40/20,319,453,905.10 = 13,546,302,603.40/x
  3. Step 3: Cross multiply
    13,546,302,603.40x = 20,319,453,905.10 × 13,546,302,603.40
  4. Step 4: Simplify right side
    13,546,302,603.40x = 275,253,471,334,322,405,376
  5. Step 5: Solve for x
    x = 275,253,471,334,322,405,376/13,546,302,603.40
  6. Step 6: Final answer
    x = 20,319,453,905.10

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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.