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Finding the Fourth Proportional to 817,183,575,829.30, 1,225,775,363,744 and 817,183,575,829.30

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Solution

The fourth proportional to 817,183,575,829.30, 1,225,775,363,744 and 817,183,575,829.30 is: 1,225,775,363,744

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,183,575,829.30 : 1,225,775,363,744 = 817,183,575,829.30 : x
  2. Step 2: Convert to fraction form
    817,183,575,829.30/1,225,775,363,744 = 817,183,575,829.30/x
  3. Step 3: Cross multiply
    817,183,575,829.30x = 1,225,775,363,744 × 817,183,575,829.30
  4. Step 4: Simplify right side
    817,183,575,829.30x = 1,001,683,494,907,782,837,043,200
  5. Step 5: Solve for x
    x = 1,001,683,494,907,782,837,043,200/817,183,575,829.30
  6. Step 6: Final answer
    x = 1,225,775,363,744

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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.