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Finding the Fourth Proportional to 673,997,912.15, 1,010,996,868.23 and 673,997,912.15

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Solution

The fourth proportional to 673,997,912.15, 1,010,996,868.23 and 673,997,912.15 is: 1,010,996,868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,997,912.15 : 1,010,996,868.23 = 673,997,912.15 : x
  2. Step 2: Convert to fraction form
    673,997,912.15/1,010,996,868.23 = 673,997,912.15/x
  3. Step 3: Cross multiply
    673,997,912.15x = 1,010,996,868.23 × 673,997,912.15
  4. Step 4: Simplify right side
    673,997,912.15x = 681,409,778,377,208,704
  5. Step 5: Solve for x
    x = 681,409,778,377,208,704/673,997,912.15
  6. Step 6: Final answer
    x = 1,010,996,868.23

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1.5x scale

Why These Related Problems?

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