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Finding the Fourth Proportional to 6,524,068,800.15, 9,786,103,200.23 and 6,524,068,800.15

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Solution

The fourth proportional to 6,524,068,800.15, 9,786,103,200.23 and 6,524,068,800.15 is: 9,786,103,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524,068,800.15 : 9,786,103,200.23 = 6,524,068,800.15 : x
  2. Step 2: Convert to fraction form
    6,524,068,800.15/9,786,103,200.23 = 6,524,068,800.15/x
  3. Step 3: Cross multiply
    6,524,068,800.15x = 9,786,103,200.23 × 6,524,068,800.15
  4. Step 4: Simplify right side
    6,524,068,800.15x = 63,845,210,563,635,986,432
  5. Step 5: Solve for x
    x = 63,845,210,563,635,986,432/6,524,068,800.15
  6. Step 6: Final answer
    x = 9,786,103,200.23

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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.