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Finding the Fourth Proportional to 30,271,485,772.80, 45,407,228,659.20 and 30,271,485,772.80

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Solution

The fourth proportional to 30,271,485,772.80, 45,407,228,659.20 and 30,271,485,772.80 is: 45,407,228,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,271,485,772.80 : 45,407,228,659.20 = 30,271,485,772.80 : x
  2. Step 2: Convert to fraction form
    30,271,485,772.80/45,407,228,659.20 = 30,271,485,772.80/x
  3. Step 3: Cross multiply
    30,271,485,772.80x = 45,407,228,659.20 × 30,271,485,772.80
  4. Step 4: Simplify right side
    30,271,485,772.80x = 1,374,544,276,339,249,119,232
  5. Step 5: Solve for x
    x = 1,374,544,276,339,249,119,232/30,271,485,772.80
  6. Step 6: Final answer
    x = 45,407,228,659.20

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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.