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Finding the Fourth Proportional to 673,997,965.90, 1,010,996,948.85 and 673,997,965.90

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Solution

The fourth proportional to 673,997,965.90, 1,010,996,948.85 and 673,997,965.90 is: 1,010,996,948.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,997,965.90 : 1,010,996,948.85 = 673,997,965.90 : x
  2. Step 2: Convert to fraction form
    673,997,965.90/1,010,996,948.85 = 673,997,965.90/x
  3. Step 3: Cross multiply
    673,997,965.90x = 1,010,996,948.85 × 673,997,965.90
  4. Step 4: Simplify right side
    673,997,965.90x = 681,409,887,056,006,400
  5. Step 5: Solve for x
    x = 681,409,887,056,006,400/673,997,965.90
  6. Step 6: Final answer
    x = 1,010,996,948.85

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Similar ratio
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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.