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Finding the Fourth Proportional to 3,359,235,628.80, 4,707,767,174.40 and 3,359,235,628.80

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Solution

The fourth proportional to 3,359,235,628.80, 4,707,767,174.40 and 3,359,235,628.80 is: 4,707,767,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,359,235,628.80 : 4,707,767,174.40 = 3,359,235,628.80 : x
  2. Step 2: Convert to fraction form
    3,359,235,628.80/4,707,767,174.40 = 3,359,235,628.80/x
  3. Step 3: Cross multiply
    3,359,235,628.80x = 4,707,767,174.40 × 3,359,235,628.80
  4. Step 4: Simplify right side
    3,359,235,628.80x = 15,814,499,224,339,582,976
  5. Step 5: Solve for x
    x = 15,814,499,224,339,582,976/3,359,235,628.80
  6. Step 6: Final answer
    x = 4,707,767,174.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.