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Finding the Fourth Proportional to 1,501,530,647.55, 2,252,295,971.33 and 1,501,530,647.55

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Solution

The fourth proportional to 1,501,530,647.55, 2,252,295,971.33 and 1,501,530,647.55 is: 2,252,295,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501,530,647.55 : 2,252,295,971.33 = 1,501,530,647.55 : x
  2. Step 2: Convert to fraction form
    1,501,530,647.55/2,252,295,971.33 = 1,501,530,647.55/x
  3. Step 3: Cross multiply
    1,501,530,647.55x = 2,252,295,971.33 × 1,501,530,647.55
  4. Step 4: Simplify right side
    1,501,530,647.55x = 3,381,891,428,297,883,136
  5. Step 5: Solve for x
    x = 3,381,891,428,297,883,136/1,501,530,647.55
  6. Step 6: Final answer
    x = 2,252,295,971.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.