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Finding the Fourth Proportional to 129,163,056,009.60, 193,744,584,014.40 and 129,163,056,009.60

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Solution

The fourth proportional to 129,163,056,009.60, 193,744,584,014.40 and 129,163,056,009.60 is: 193,744,584,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,163,056,009.60 : 193,744,584,014.40 = 129,163,056,009.60 : x
  2. Step 2: Convert to fraction form
    129,163,056,009.60/193,744,584,014.40 = 129,163,056,009.60/x
  3. Step 3: Cross multiply
    129,163,056,009.60x = 193,744,584,014.40 × 129,163,056,009.60
  4. Step 4: Simplify right side
    129,163,056,009.60x = 25,024,642,556,608,601,128,960
  5. Step 5: Solve for x
    x = 25,024,642,556,608,601,128,960/129,163,056,009.60
  6. Step 6: Final answer
    x = 193,744,584,014.40

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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.