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Finding the Fourth Proportional to 504,020,322,534.75, 756,030,483,802.10 and 504,020,322,534.75

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Solution

The fourth proportional to 504,020,322,534.75, 756,030,483,802.10 and 504,020,322,534.75 is: 756,030,483,802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,020,322,534.75 : 756,030,483,802.10 = 504,020,322,534.75 : x
  2. Step 2: Convert to fraction form
    504,020,322,534.75/756,030,483,802.10 = 504,020,322,534.75/x
  3. Step 3: Cross multiply
    504,020,322,534.75x = 756,030,483,802.10 × 504,020,322,534.75
  4. Step 4: Simplify right side
    504,020,322,534.75x = 381,054,728,292,037,514,231,808
  5. Step 5: Solve for x
    x = 381,054,728,292,037,514,231,808/504,020,322,534.75
  6. Step 6: Final answer
    x = 756,030,483,802.10

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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.