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Finding the Fourth Proportional to 30,645,296,999.40, 45,967,945,499.10 and 30,645,296,999.40

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Solution

The fourth proportional to 30,645,296,999.40, 45,967,945,499.10 and 30,645,296,999.40 is: 45,967,945,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645,296,999.40 : 45,967,945,499.10 = 30,645,296,999.40 : x
  2. Step 2: Convert to fraction form
    30,645,296,999.40/45,967,945,499.10 = 30,645,296,999.40/x
  3. Step 3: Cross multiply
    30,645,296,999.40x = 45,967,945,499.10 × 30,645,296,999.40
  4. Step 4: Simplify right side
    30,645,296,999.40x = 1,408,701,342,272,151,879,680
  5. Step 5: Solve for x
    x = 1,408,701,342,272,151,879,680/30,645,296,999.40
  6. Step 6: Final answer
    x = 45,967,945,499.10

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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.