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Finding the Fourth Proportional to 505,197,129.60, 705,554,112.60 and 505,197,129.60

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Solution

The fourth proportional to 505,197,129.60, 705,554,112.60 and 505,197,129.60 is: 705,554,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,197,129.60 : 705,554,112.60 = 505,197,129.60 : x
  2. Step 2: Convert to fraction form
    505,197,129.60/705,554,112.60 = 505,197,129.60/x
  3. Step 3: Cross multiply
    505,197,129.60x = 705,554,112.60 × 505,197,129.60
  4. Step 4: Simplify right side
    505,197,129.60x = 356,443,912,462,995,200
  5. Step 5: Solve for x
    x = 356,443,912,462,995,200/505,197,129.60
  6. Step 6: Final answer
    x = 705,554,112.60

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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.