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Finding the Fourth Proportional to 673,997,914.15, 1,010,996,871.23 and 673,997,914.15

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Solution

The fourth proportional to 673,997,914.15, 1,010,996,871.23 and 673,997,914.15 is: 1,010,996,871.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,997,914.15 : 1,010,996,871.23 = 673,997,914.15 : x
  2. Step 2: Convert to fraction form
    673,997,914.15/1,010,996,871.23 = 673,997,914.15/x
  3. Step 3: Cross multiply
    673,997,914.15x = 1,010,996,871.23 × 673,997,914.15
  4. Step 4: Simplify right side
    673,997,914.15x = 681,409,782,421,196,160
  5. Step 5: Solve for x
    x = 681,409,782,421,196,160/673,997,914.15
  6. Step 6: Final answer
    x = 1,010,996,871.23

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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.