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Finding the Fourth Proportional to 505,197,090.10, 705,554,057.30 and 505,197,090.10

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Solution

The fourth proportional to 505,197,090.10, 705,554,057.30 and 505,197,090.10 is: 705,554,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,197,090.10 : 705,554,057.30 = 505,197,090.10 : x
  2. Step 2: Convert to fraction form
    505,197,090.10/705,554,057.30 = 505,197,090.10/x
  3. Step 3: Cross multiply
    505,197,090.10x = 705,554,057.30 × 505,197,090.10
  4. Step 4: Simplify right side
    505,197,090.10x = 356,443,856,656,208,640
  5. Step 5: Solve for x
    x = 356,443,856,656,208,640/505,197,090.10
  6. Step 6: Final answer
    x = 705,554,057.30

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