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Finding the Fourth Proportional to 183,874,008,869.40, 275,811,013,304.10 and 183,874,008,869.40

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Solution

The fourth proportional to 183,874,008,869.40, 275,811,013,304.10 and 183,874,008,869.40 is: 275,811,013,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,874,008,869.40 : 275,811,013,304.10 = 183,874,008,869.40 : x
  2. Step 2: Convert to fraction form
    183,874,008,869.40/275,811,013,304.10 = 183,874,008,869.40/x
  3. Step 3: Cross multiply
    183,874,008,869.40x = 275,811,013,304.10 × 183,874,008,869.40
  4. Step 4: Simplify right side
    183,874,008,869.40x = 50,714,476,706,556,274,540,544
  5. Step 5: Solve for x
    x = 50,714,476,706,556,274,540,544/183,874,008,869.40
  6. Step 6: Final answer
    x = 275,811,013,304.10

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Why These Related Problems?

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