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Finding the Fourth Proportional to 164,561,329,903.60, 246,841,994,855.40 and 164,561,329,903.60

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Solution

The fourth proportional to 164,561,329,903.60, 246,841,994,855.40 and 164,561,329,903.60 is: 246,841,994,855.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,561,329,903.60 : 246,841,994,855.40 = 164,561,329,903.60 : x
  2. Step 2: Convert to fraction form
    164,561,329,903.60/246,841,994,855.40 = 164,561,329,903.60/x
  3. Step 3: Cross multiply
    164,561,329,903.60x = 246,841,994,855.40 × 164,561,329,903.60
  4. Step 4: Simplify right side
    164,561,329,903.60x = 40,620,646,949,462,212,608,000
  5. Step 5: Solve for x
    x = 40,620,646,949,462,212,608,000/164,561,329,903.60
  6. Step 6: Final answer
    x = 246,841,994,855.40

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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.