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Finding the Fourth Proportional to 504,020,322,570.30, 756,030,483,855.40 and 504,020,322,570.30

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Solution

The fourth proportional to 504,020,322,570.30, 756,030,483,855.40 and 504,020,322,570.30 is: 756,030,483,855.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,020,322,570.30 : 756,030,483,855.40 = 504,020,322,570.30 : x
  2. Step 2: Convert to fraction form
    504,020,322,570.30/756,030,483,855.40 = 504,020,322,570.30/x
  3. Step 3: Cross multiply
    504,020,322,570.30x = 756,030,483,855.40 × 504,020,322,570.30
  4. Step 4: Simplify right side
    504,020,322,570.30x = 381,054,728,345,778,695,176,192
  5. Step 5: Solve for x
    x = 381,054,728,345,778,695,176,192/504,020,322,570.30
  6. Step 6: Final answer
    x = 756,030,483,855.40

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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.