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Finding the Fourth Proportional to 737,020,199,096.90, 1,105,530,298,645.40 and 737,020,199,096.90

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Solution

The fourth proportional to 737,020,199,096.90, 1,105,530,298,645.40 and 737,020,199,096.90 is: 1,105,530,298,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,020,199,096.90 : 1,105,530,298,645.40 = 737,020,199,096.90 : x
  2. Step 2: Convert to fraction form
    737,020,199,096.90/1,105,530,298,645.40 = 737,020,199,096.90/x
  3. Step 3: Cross multiply
    737,020,199,096.90x = 1,105,530,298,645.40 × 737,020,199,096.90
  4. Step 4: Simplify right side
    737,020,199,096.90x = 814,798,160,815,288,030,855,168
  5. Step 5: Solve for x
    x = 814,798,160,815,288,030,855,168/737,020,199,096.90
  6. Step 6: Final answer
    x = 1,105,530,298,645.40

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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.