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Finding the Fourth Proportional to 9,180,410,305.80, 12,877,063,229.40 and 9,180,410,305.80

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Solution

The fourth proportional to 9,180,410,305.80, 12,877,063,229.40 and 9,180,410,305.80 is: 12,877,063,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180,410,305.80 : 12,877,063,229.40 = 9,180,410,305.80 : x
  2. Step 2: Convert to fraction form
    9,180,410,305.80/12,877,063,229.40 = 9,180,410,305.80/x
  3. Step 3: Cross multiply
    9,180,410,305.80x = 12,877,063,229.40 × 9,180,410,305.80
  4. Step 4: Simplify right side
    9,180,410,305.80x = 118,216,723,979,621,974,016
  5. Step 5: Solve for x
    x = 118,216,723,979,621,974,016/9,180,410,305.80
  6. Step 6: Final answer
    x = 12,877,063,229.40

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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.