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Finding the Fourth Proportional to 10,865,016,007.02, 16,297,524,010.53 and 10,865,016,007.02

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Solution

The fourth proportional to 10,865,016,007.02, 16,297,524,010.53 and 10,865,016,007.02 is: 16,297,524,010.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865,016,007.02 : 16,297,524,010.53 = 10,865,016,007.02 : x
  2. Step 2: Convert to fraction form
    10,865,016,007.02/16,297,524,010.53 = 10,865,016,007.02/x
  3. Step 3: Cross multiply
    10,865,016,007.02x = 16,297,524,010.53 × 10,865,016,007.02
  4. Step 4: Simplify right side
    10,865,016,007.02x = 177,072,859,249,201,250,304
  5. Step 5: Solve for x
    x = 177,072,859,249,201,250,304/10,865,016,007.02
  6. Step 6: Final answer
    x = 16,297,524,010.53

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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.