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Finding the Fourth Proportional to 503,449,344,007.65, 755,174,016,011.60 and 503,449,344,007.65

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Solution

The fourth proportional to 503,449,344,007.65, 755,174,016,011.60 and 503,449,344,007.65 is: 755,174,016,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,449,344,007.65 : 755,174,016,011.60 = 503,449,344,007.65 : x
  2. Step 2: Convert to fraction form
    503,449,344,007.65/755,174,016,011.60 = 503,449,344,007.65/x
  3. Step 3: Cross multiply
    503,449,344,007.65x = 755,174,016,011.60 × 503,449,344,007.65
  4. Step 4: Simplify right side
    503,449,344,007.65x = 380,191,862,972,662,629,269,504
  5. Step 5: Solve for x
    x = 380,191,862,972,662,629,269,504/503,449,344,007.65
  6. Step 6: Final answer
    x = 755,174,016,011.60

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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.