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Finding the Fourth Proportional to 3,055,840,905.70, 4,583,761,358.55 and 3,055,840,905.70

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Solution

The fourth proportional to 3,055,840,905.70, 4,583,761,358.55 and 3,055,840,905.70 is: 4,583,761,358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055,840,905.70 : 4,583,761,358.55 = 3,055,840,905.70 : x
  2. Step 2: Convert to fraction form
    3,055,840,905.70/4,583,761,358.55 = 3,055,840,905.70/x
  3. Step 3: Cross multiply
    3,055,840,905.70x = 4,583,761,358.55 × 3,055,840,905.70
  4. Step 4: Simplify right side
    3,055,840,905.70x = 14,007,245,461,424,093,184
  5. Step 5: Solve for x
    x = 14,007,245,461,424,093,184/3,055,840,905.70
  6. Step 6: Final answer
    x = 4,583,761,358.55

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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.