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Finding the Fourth Proportional to 1,010,402,198.20, 1,515,603,297.30 and 1,010,402,198.20

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Solution

The fourth proportional to 1,010,402,198.20, 1,515,603,297.30 and 1,010,402,198.20 is: 1,515,603,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,402,198.20 : 1,515,603,297.30 = 1,010,402,198.20 : x
  2. Step 2: Convert to fraction form
    1,010,402,198.20/1,515,603,297.30 = 1,010,402,198.20/x
  3. Step 3: Cross multiply
    1,010,402,198.20x = 1,515,603,297.30 × 1,010,402,198.20
  4. Step 4: Simplify right side
    1,010,402,198.20x = 1,531,368,903,191,088,128
  5. Step 5: Solve for x
    x = 1,531,368,903,191,088,128/1,010,402,198.20
  6. Step 6: Final answer
    x = 1,515,603,297.30

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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.