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Finding the Fourth Proportional to 10,865,016,095.70, 16,297,524,143.55 and 10,865,016,095.70

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Solution

The fourth proportional to 10,865,016,095.70, 16,297,524,143.55 and 10,865,016,095.70 is: 16,297,524,143.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865,016,095.70 : 16,297,524,143.55 = 10,865,016,095.70 : x
  2. Step 2: Convert to fraction form
    10,865,016,095.70/16,297,524,143.55 = 10,865,016,095.70/x
  3. Step 3: Cross multiply
    10,865,016,095.70x = 16,297,524,143.55 × 10,865,016,095.70
  4. Step 4: Simplify right side
    10,865,016,095.70x = 177,072,862,139,730,100,224
  5. Step 5: Solve for x
    x = 177,072,862,139,730,100,224/10,865,016,095.70
  6. Step 6: Final answer
    x = 16,297,524,143.55

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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.