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Finding the Fourth Proportional to 673,993,764.90, 1,010,990,647.35 and 673,993,764.90

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Solution

The fourth proportional to 673,993,764.90, 1,010,990,647.35 and 673,993,764.90 is: 1,010,990,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,993,764.90 : 1,010,990,647.35 = 673,993,764.90 : x
  2. Step 2: Convert to fraction form
    673,993,764.90/1,010,990,647.35 = 673,993,764.90/x
  3. Step 3: Cross multiply
    673,993,764.90x = 1,010,990,647.35 × 673,993,764.90
  4. Step 4: Simplify right side
    673,993,764.90x = 681,401,392,686,114,688
  5. Step 5: Solve for x
    x = 681,401,392,686,114,688/673,993,764.90
  6. Step 6: Final answer
    x = 1,010,990,647.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.