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Finding the Fourth Proportional to 504,020,322,555.55, 756,030,483,833.30 and 504,020,322,555.55

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Solution

The fourth proportional to 504,020,322,555.55, 756,030,483,833.30 and 504,020,322,555.55 is: 756,030,483,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,020,322,555.55 : 756,030,483,833.30 = 504,020,322,555.55 : x
  2. Step 2: Convert to fraction form
    504,020,322,555.55/756,030,483,833.30 = 504,020,322,555.55/x
  3. Step 3: Cross multiply
    504,020,322,555.55x = 756,030,483,833.30 × 504,020,322,555.55
  4. Step 4: Simplify right side
    504,020,322,555.55x = 381,054,728,323,488,418,889,728
  5. Step 5: Solve for x
    x = 381,054,728,323,488,418,889,728/504,020,322,555.55
  6. Step 6: Final answer
    x = 756,030,483,833.30

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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.