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Finding the Fourth Proportional to 77,149,898,353.20, 115,724,847,529.80 and 77,149,898,353.20

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Solution

The fourth proportional to 77,149,898,353.20, 115,724,847,529.80 and 77,149,898,353.20 is: 115,724,847,529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,149,898,353.20 : 115,724,847,529.80 = 77,149,898,353.20 : x
  2. Step 2: Convert to fraction form
    77,149,898,353.20/115,724,847,529.80 = 77,149,898,353.20/x
  3. Step 3: Cross multiply
    77,149,898,353.20x = 115,724,847,529.80 × 77,149,898,353.20
  4. Step 4: Simplify right side
    77,149,898,353.20x = 8,928,160,223,863,638,065,152
  5. Step 5: Solve for x
    x = 8,928,160,223,863,638,065,152/77,149,898,353.20
  6. Step 6: Final answer
    x = 115,724,847,529.80

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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.