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Finding the Fourth Proportional to 6,801,093,043.40, 10,201,639,565.10 and 6,801,093,043.40

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Solution

The fourth proportional to 6,801,093,043.40, 10,201,639,565.10 and 6,801,093,043.40 is: 10,201,639,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801,093,043.40 : 10,201,639,565.10 = 6,801,093,043.40 : x
  2. Step 2: Convert to fraction form
    6,801,093,043.40/10,201,639,565.10 = 6,801,093,043.40/x
  3. Step 3: Cross multiply
    6,801,093,043.40x = 10,201,639,565.10 × 6,801,093,043.40
  4. Step 4: Simplify right side
    6,801,093,043.40x = 69,382,299,877,475,811,328
  5. Step 5: Solve for x
    x = 69,382,299,877,475,811,328/6,801,093,043.40
  6. Step 6: Final answer
    x = 10,201,639,565.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.