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Finding the Fourth Proportional to 504,020,322,567.75, 756,030,483,851.60 and 504,020,322,567.75

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Solution

The fourth proportional to 504,020,322,567.75, 756,030,483,851.60 and 504,020,322,567.75 is: 756,030,483,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,020,322,567.75 : 756,030,483,851.60 = 504,020,322,567.75 : x
  2. Step 2: Convert to fraction form
    504,020,322,567.75/756,030,483,851.60 = 504,020,322,567.75/x
  3. Step 3: Cross multiply
    504,020,322,567.75x = 756,030,483,851.60 × 504,020,322,567.75
  4. Step 4: Simplify right side
    504,020,322,567.75x = 381,054,728,341,935,504,752,640
  5. Step 5: Solve for x
    x = 381,054,728,341,935,504,752,640/504,020,322,567.75
  6. Step 6: Final answer
    x = 756,030,483,851.60

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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.