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Finding the Fourth Proportional to 105,945,205.60, 147,983,165.60 and 105,945,205.60

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Solution

The fourth proportional to 105,945,205.60, 147,983,165.60 and 105,945,205.60 is: 147,983,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,945,205.60 : 147,983,165.60 = 105,945,205.60 : x
  2. Step 2: Convert to fraction form
    105,945,205.60/147,983,165.60 = 105,945,205.60/x
  3. Step 3: Cross multiply
    105,945,205.60x = 147,983,165.60 × 105,945,205.60
  4. Step 4: Simplify right side
    105,945,205.60x = 15,678,106,904,830,846
  5. Step 5: Solve for x
    x = 15,678,106,904,830,846/105,945,205.60
  6. Step 6: Final answer
    x = 147,983,165.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.