Home / 509,282,173,764.40-702,811,584,771.42-277,800,737,571.16

Finding the Fourth Proportional to 509,282,173,764.40, 702,811,584,771.42 and 277,800,737,571.16

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Solution

The fourth proportional to 509,282,173,764.40, 702,811,584,771.42 and 277,800,737,571.16 is: 383,366,209,698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,282,173,764.40 : 702,811,584,771.42 = 277,800,737,571.16 : x
  2. Step 2: Convert to fraction form
    509,282,173,764.40/702,811,584,771.42 = 277,800,737,571.16/x
  3. Step 3: Cross multiply
    509,282,173,764.40x = 702,811,584,771.42 × 277,800,737,571.16
  4. Step 4: Simplify right side
    509,282,173,764.40x = 195,241,576,623,056,315,482,112
  5. Step 5: Solve for x
    x = 195,241,576,623,056,315,482,112/509,282,173,764.40
  6. Step 6: Final answer
    x = 383,366,209,698.47

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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.