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Finding the Fourth Proportional to 102,933,646,807.80, 154,400,470,211.70 and 102,933,646,807.80

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Solution

The fourth proportional to 102,933,646,807.80, 154,400,470,211.70 and 102,933,646,807.80 is: 154,400,470,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,933,646,807.80 : 154,400,470,211.70 = 102,933,646,807.80 : x
  2. Step 2: Convert to fraction form
    102,933,646,807.80/154,400,470,211.70 = 102,933,646,807.80/x
  3. Step 3: Cross multiply
    102,933,646,807.80x = 154,400,470,211.70 × 102,933,646,807.80
  4. Step 4: Simplify right side
    102,933,646,807.80x = 15,893,003,467,729,374,543,872
  5. Step 5: Solve for x
    x = 15,893,003,467,729,374,543,872/102,933,646,807.80
  6. Step 6: Final answer
    x = 154,400,470,211.70

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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.