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Finding the Fourth Proportional to 548,963,904.96, 757,583,351.89 and 298,078,870.25

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Solution

The fourth proportional to 548,963,904.96, 757,583,351.89 and 298,078,870.25 is: 411,355,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,963,904.96 : 757,583,351.89 = 298,078,870.25 : x
  2. Step 2: Convert to fraction form
    548,963,904.96/757,583,351.89 = 298,078,870.25/x
  3. Step 3: Cross multiply
    548,963,904.96x = 757,583,351.89 × 298,078,870.25
  4. Step 4: Simplify right side
    548,963,904.96x = 225,819,589,652,728,160
  5. Step 5: Solve for x
    x = 225,819,589,652,728,160/548,963,904.96
  6. Step 6: Final answer
    x = 411,355,988.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.