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Finding the Fourth Proportional to 183,636,572,605.60, 275,454,858,908.40 and 183,636,572,605.60

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Solution

The fourth proportional to 183,636,572,605.60, 275,454,858,908.40 and 183,636,572,605.60 is: 275,454,858,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,636,572,605.60 : 275,454,858,908.40 = 183,636,572,605.60 : x
  2. Step 2: Convert to fraction form
    183,636,572,605.60/275,454,858,908.40 = 183,636,572,605.60/x
  3. Step 3: Cross multiply
    183,636,572,605.60x = 275,454,858,908.40 × 183,636,572,605.60
  4. Step 4: Simplify right side
    183,636,572,605.60x = 50,583,586,197,497,706,446,848
  5. Step 5: Solve for x
    x = 50,583,586,197,497,706,446,848/183,636,572,605.60
  6. Step 6: Final answer
    x = 275,454,858,908.40

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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.