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Finding the Fourth Proportional to 505,489,097.40, 709,725,469.80 and 505,489,097.40

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Solution

The fourth proportional to 505,489,097.40, 709,725,469.80 and 505,489,097.40 is: 709,725,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,489,097.40 : 709,725,469.80 = 505,489,097.40 : x
  2. Step 2: Convert to fraction form
    505,489,097.40/709,725,469.80 = 505,489,097.40/x
  3. Step 3: Cross multiply
    505,489,097.40x = 709,725,469.80 × 505,489,097.40
  4. Step 4: Simplify right side
    505,489,097.40x = 358,758,487,130,992,896
  5. Step 5: Solve for x
    x = 358,758,487,130,992,896/505,489,097.40
  6. Step 6: Final answer
    x = 709,725,469.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.