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Finding the Fourth Proportional to 10,003,298.10, 14,042,408.70 and 10,003,298.10

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Solution

The fourth proportional to 10,003,298.10, 14,042,408.70 and 10,003,298.10 is: 14,042,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003,298.10 : 14,042,408.70 = 10,003,298.10 : x
  2. Step 2: Convert to fraction form
    10,003,298.10/14,042,408.70 = 10,003,298.10/x
  3. Step 3: Cross multiply
    10,003,298.10x = 14,042,408.70 × 10,003,298.10
  4. Step 4: Simplify right side
    10,003,298.10x = 140,470,400,268,133.45
  5. Step 5: Solve for x
    x = 140,470,400,268,133.45/10,003,298.10
  6. Step 6: Final answer
    x = 14,042,408.70

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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.