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Finding the Fourth Proportional to 73,903,104,006.45, 110,854,656,009.67 and 73,903,104,006.45

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Solution

The fourth proportional to 73,903,104,006.45, 110,854,656,009.67 and 73,903,104,006.45 is: 110,854,656,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,903,104,006.45 : 110,854,656,009.67 = 73,903,104,006.45 : x
  2. Step 2: Convert to fraction form
    73,903,104,006.45/110,854,656,009.67 = 73,903,104,006.45/x
  3. Step 3: Cross multiply
    73,903,104,006.45x = 110,854,656,009.67 × 73,903,104,006.45
  4. Step 4: Simplify right side
    73,903,104,006.45x = 8,192,503,172,681,878,732,800
  5. Step 5: Solve for x
    x = 8,192,503,172,681,878,732,800/73,903,104,006.45
  6. Step 6: Final answer
    x = 110,854,656,009.67

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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.