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Finding the Fourth Proportional to 737,020,199,164.90, 1,105,530,298,747.40 and 737,020,199,164.90

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Solution

The fourth proportional to 737,020,199,164.90, 1,105,530,298,747.40 and 737,020,199,164.90 is: 1,105,530,298,747.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,020,199,164.90 : 1,105,530,298,747.40 = 737,020,199,164.90 : x
  2. Step 2: Convert to fraction form
    737,020,199,164.90/1,105,530,298,747.40 = 737,020,199,164.90/x
  3. Step 3: Cross multiply
    737,020,199,164.90x = 1,105,530,298,747.40 × 737,020,199,164.90
  4. Step 4: Simplify right side
    737,020,199,164.90x = 814,798,160,965,640,071,938,048
  5. Step 5: Solve for x
    x = 814,798,160,965,640,071,938,048/737,020,199,164.90
  6. Step 6: Final answer
    x = 1,105,530,298,747.40

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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.