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Finding the Fourth Proportional to 407,496,936,009.20, 611,245,404,013.80 and 407,496,936,009.20

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Solution

The fourth proportional to 407,496,936,009.20, 611,245,404,013.80 and 407,496,936,009.20 is: 611,245,404,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,496,936,009.20 : 611,245,404,013.80 = 407,496,936,009.20 : x
  2. Step 2: Convert to fraction form
    407,496,936,009.20/611,245,404,013.80 = 407,496,936,009.20/x
  3. Step 3: Cross multiply
    407,496,936,009.20x = 611,245,404,013.80 × 407,496,936,009.20
  4. Step 4: Simplify right side
    407,496,936,009.20x = 249,080,629,285,329,095,884,800
  5. Step 5: Solve for x
    x = 249,080,629,285,329,095,884,800/407,496,936,009.20
  6. Step 6: Final answer
    x = 611,245,404,013.80

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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.