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Finding the Fourth Proportional to 183,874,008,836.40, 275,811,013,254.60 and 183,874,008,836.40

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Solution

The fourth proportional to 183,874,008,836.40, 275,811,013,254.60 and 183,874,008,836.40 is: 275,811,013,254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,874,008,836.40 : 275,811,013,254.60 = 183,874,008,836.40 : x
  2. Step 2: Convert to fraction form
    183,874,008,836.40/275,811,013,254.60 = 183,874,008,836.40/x
  3. Step 3: Cross multiply
    183,874,008,836.40x = 275,811,013,254.60 × 183,874,008,836.40
  4. Step 4: Simplify right side
    183,874,008,836.40x = 50,714,476,688,352,751,910,912
  5. Step 5: Solve for x
    x = 50,714,476,688,352,751,910,912/183,874,008,836.40
  6. Step 6: Final answer
    x = 275,811,013,254.60

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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.