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Finding the Fourth Proportional to 74,662,344,009.15, 111,993,516,013.72 and 74,662,344,009.15

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Solution

The fourth proportional to 74,662,344,009.15, 111,993,516,013.72 and 74,662,344,009.15 is: 111,993,516,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,662,344,009.15 : 111,993,516,013.72 = 74,662,344,009.15 : x
  2. Step 2: Convert to fraction form
    74,662,344,009.15/111,993,516,013.72 = 74,662,344,009.15/x
  3. Step 3: Cross multiply
    74,662,344,009.15x = 111,993,516,013.72 × 74,662,344,009.15
  4. Step 4: Simplify right side
    74,662,344,009.15x = 8,361,698,419,410,611,470,336
  5. Step 5: Solve for x
    x = 8,361,698,419,410,611,470,336/74,662,344,009.15
  6. Step 6: Final answer
    x = 111,993,516,013.72

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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.