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Finding the Fourth Proportional to 1,170,682,464.03, 1,615,643,968.99 and 642,148,601.59

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Solution

The fourth proportional to 1,170,682,464.03, 1,615,643,968.99 and 642,148,601.59 is: 886,221,112.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170,682,464.03 : 1,615,643,968.99 = 642,148,601.59 : x
  2. Step 2: Convert to fraction form
    1,170,682,464.03/1,615,643,968.99 = 642,148,601.59/x
  3. Step 3: Cross multiply
    1,170,682,464.03x = 1,615,643,968.99 × 642,148,601.59
  4. Step 4: Simplify right side
    1,170,682,464.03x = 1,037,483,515,351,356,160
  5. Step 5: Solve for x
    x = 1,037,483,515,351,356,160/1,170,682,464.03
  6. Step 6: Final answer
    x = 886,221,112.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.