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Finding the Fourth Proportional to 104,782,565,342.70, 157,173,848,014.05 and 104,782,565,342.70

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Solution

The fourth proportional to 104,782,565,342.70, 157,173,848,014.05 and 104,782,565,342.70 is: 157,173,848,014.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,782,565,342.70 : 157,173,848,014.05 = 104,782,565,342.70 : x
  2. Step 2: Convert to fraction form
    104,782,565,342.70/157,173,848,014.05 = 104,782,565,342.70/x
  3. Step 3: Cross multiply
    104,782,565,342.70x = 157,173,848,014.05 × 104,782,565,342.70
  4. Step 4: Simplify right side
    104,782,565,342.70x = 16,469,078,999,695,792,013,312
  5. Step 5: Solve for x
    x = 16,469,078,999,695,792,013,312/104,782,565,342.70
  6. Step 6: Final answer
    x = 157,173,848,014.05

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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.