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Finding the Fourth Proportional to 735,198,401.10, 1,031,860,564.80 and 735,198,401.10

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Solution

The fourth proportional to 735,198,401.10, 1,031,860,564.80 and 735,198,401.10 is: 1,031,860,564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,198,401.10 : 1,031,860,564.80 = 735,198,401.10 : x
  2. Step 2: Convert to fraction form
    735,198,401.10/1,031,860,564.80 = 735,198,401.10/x
  3. Step 3: Cross multiply
    735,198,401.10x = 1,031,860,564.80 × 735,198,401.10
  4. Step 4: Simplify right side
    735,198,401.10x = 758,622,237,399,102,976
  5. Step 5: Solve for x
    x = 758,622,237,399,102,976/735,198,401.10
  6. Step 6: Final answer
    x = 1,031,860,564.80

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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.