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Finding the Fourth Proportional to 120,115,577.70, 180,173,366.55 and 120,115,577.70

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Solution

The fourth proportional to 120,115,577.70, 180,173,366.55 and 120,115,577.70 is: 180,173,366.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,115,577.70 : 180,173,366.55 = 120,115,577.70 : x
  2. Step 2: Convert to fraction form
    120,115,577.70/180,173,366.55 = 120,115,577.70/x
  3. Step 3: Cross multiply
    120,115,577.70x = 180,173,366.55 × 120,115,577.70
  4. Step 4: Simplify right side
    120,115,577.70x = 21,641,628,009,307,108
  5. Step 5: Solve for x
    x = 21,641,628,009,307,108/120,115,577.70
  6. Step 6: Final answer
    x = 180,173,366.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.