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Finding the Fourth Proportional to 14,271,714,200.40, 21,407,571,300.60 and 14,271,714,200.40

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Solution

The fourth proportional to 14,271,714,200.40, 21,407,571,300.60 and 14,271,714,200.40 is: 21,407,571,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271,714,200.40 : 21,407,571,300.60 = 14,271,714,200.40 : x
  2. Step 2: Convert to fraction form
    14,271,714,200.40/21,407,571,300.60 = 14,271,714,200.40/x
  3. Step 3: Cross multiply
    14,271,714,200.40x = 21,407,571,300.60 × 14,271,714,200.40
  4. Step 4: Simplify right side
    14,271,714,200.40x = 305,522,739,326,848,466,944
  5. Step 5: Solve for x
    x = 305,522,739,326,848,466,944/14,271,714,200.40
  6. Step 6: Final answer
    x = 21,407,571,300.60

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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.