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Finding the Fourth Proportional to 103,056,460,163.60, 154,367,012,011.80 and 103,056,460,163.60

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Solution

The fourth proportional to 103,056,460,163.60, 154,367,012,011.80 and 103,056,460,163.60 is: 154,367,012,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,056,460,163.60 : 154,367,012,011.80 = 103,056,460,163.60 : x
  2. Step 2: Convert to fraction form
    103,056,460,163.60/154,367,012,011.80 = 103,056,460,163.60/x
  3. Step 3: Cross multiply
    103,056,460,163.60x = 154,367,012,011.80 × 103,056,460,163.60
  4. Step 4: Simplify right side
    103,056,460,163.60x = 15,908,517,823,968,029,179,904
  5. Step 5: Solve for x
    x = 15,908,517,823,968,029,179,904/103,056,460,163.60
  6. Step 6: Final answer
    x = 154,367,012,011.80

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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.