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Finding the Fourth Proportional to 101,700,467,998.70, 152,550,701,998.05 and 101,700,467,998.70

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Solution

The fourth proportional to 101,700,467,998.70, 152,550,701,998.05 and 101,700,467,998.70 is: 152,550,701,998.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,700,467,998.70 : 152,550,701,998.05 = 101,700,467,998.70 : x
  2. Step 2: Convert to fraction form
    101,700,467,998.70/152,550,701,998.05 = 101,700,467,998.70/x
  3. Step 3: Cross multiply
    101,700,467,998.70x = 152,550,701,998.05 × 101,700,467,998.70
  4. Step 4: Simplify right side
    101,700,467,998.70x = 15,514,477,786,731,902,926,848
  5. Step 5: Solve for x
    x = 15,514,477,786,731,902,926,848/101,700,467,998.70
  6. Step 6: Final answer
    x = 152,550,701,998.05

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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.