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Finding the Fourth Proportional to 939,924,009.45, 1,409,886,014.22 and 939,924,009.45

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Solution

The fourth proportional to 939,924,009.45, 1,409,886,014.22 and 939,924,009.45 is: 1,409,886,014.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    939,924,009.45 : 1,409,886,014.22 = 939,924,009.45 : x
  2. Step 2: Convert to fraction form
    939,924,009.45/1,409,886,014.22 = 939,924,009.45/x
  3. Step 3: Cross multiply
    939,924,009.45x = 1,409,886,014.22 × 939,924,009.45
  4. Step 4: Simplify right side
    939,924,009.45x = 1,325,185,715,353,142,272
  5. Step 5: Solve for x
    x = 1,325,185,715,353,142,272/939,924,009.45
  6. Step 6: Final answer
    x = 1,409,886,014.22

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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.