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Finding the Fourth Proportional to 733,537,166.40, 1,100,305,749.60 and 733,537,166.40

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Solution

The fourth proportional to 733,537,166.40, 1,100,305,749.60 and 733,537,166.40 is: 1,100,305,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,537,166.40 : 1,100,305,749.60 = 733,537,166.40 : x
  2. Step 2: Convert to fraction form
    733,537,166.40/1,100,305,749.60 = 733,537,166.40/x
  3. Step 3: Cross multiply
    733,537,166.40x = 1,100,305,749.60 × 733,537,166.40
  4. Step 4: Simplify right side
    733,537,166.40x = 807,115,161,735,211,776
  5. Step 5: Solve for x
    x = 807,115,161,735,211,776/733,537,166.40
  6. Step 6: Final answer
    x = 1,100,305,749.60

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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.