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Finding the Fourth Proportional to 745,749,504,879.90, 1,118,624,257,319.90 and 745,749,504,879.90

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Solution

The fourth proportional to 745,749,504,879.90, 1,118,624,257,319.90 and 745,749,504,879.90 is: 1,118,624,257,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,749,504,879.90 : 1,118,624,257,319.90 = 745,749,504,879.90 : x
  2. Step 2: Convert to fraction form
    745,749,504,879.90/1,118,624,257,319.90 = 745,749,504,879.90/x
  3. Step 3: Cross multiply
    745,749,504,879.90x = 1,118,624,257,319.90 × 745,749,504,879.90
  4. Step 4: Simplify right side
    745,749,504,879.90x = 834,213,486,042,961,277,878,272
  5. Step 5: Solve for x
    x = 834,213,486,042,961,277,878,272/745,749,504,879.90
  6. Step 6: Final answer
    x = 1,118,624,257,319.90

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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.