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Finding the Fourth Proportional to 145,558,847,820.60, 218,338,271,730.90 and 145,558,847,820.60

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Solution

The fourth proportional to 145,558,847,820.60, 218,338,271,730.90 and 145,558,847,820.60 is: 218,338,271,730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,558,847,820.60 : 218,338,271,730.90 = 145,558,847,820.60 : x
  2. Step 2: Convert to fraction form
    145,558,847,820.60/218,338,271,730.90 = 145,558,847,820.60/x
  3. Step 3: Cross multiply
    145,558,847,820.60x = 218,338,271,730.90 × 145,558,847,820.60
  4. Step 4: Simplify right side
    145,558,847,820.60x = 31,781,067,268,290,884,141,056
  5. Step 5: Solve for x
    x = 31,781,067,268,290,884,141,056/145,558,847,820.60
  6. Step 6: Final answer
    x = 218,338,271,730.90

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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.