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Finding the Fourth Proportional to 7,429,503.10, 10,380,046.70 and 7,429,503.10

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Solution

The fourth proportional to 7,429,503.10, 10,380,046.70 and 7,429,503.10 is: 10,380,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429,503.10 : 10,380,046.70 = 7,429,503.10 : x
  2. Step 2: Convert to fraction form
    7,429,503.10/10,380,046.70 = 7,429,503.10/x
  3. Step 3: Cross multiply
    7,429,503.10x = 10,380,046.70 × 7,429,503.10
  4. Step 4: Simplify right side
    7,429,503.10x = 77,118,589,135,794.77
  5. Step 5: Solve for x
    x = 77,118,589,135,794.77/7,429,503.10
  6. Step 6: Final answer
    x = 10,380,046.70

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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.