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Finding the Fourth Proportional to 668,819,373,603.60, 1,003,229,060,405.40 and 668,819,373,603.60

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Solution

The fourth proportional to 668,819,373,603.60, 1,003,229,060,405.40 and 668,819,373,603.60 is: 1,003,229,060,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,819,373,603.60 : 1,003,229,060,405.40 = 668,819,373,603.60 : x
  2. Step 2: Convert to fraction form
    668,819,373,603.60/1,003,229,060,405.40 = 668,819,373,603.60/x
  3. Step 3: Cross multiply
    668,819,373,603.60x = 1,003,229,060,405.40 × 668,819,373,603.60
  4. Step 4: Simplify right side
    668,819,373,603.60x = 670,979,031,761,267,816,660,992
  5. Step 5: Solve for x
    x = 670,979,031,761,267,816,660,992/668,819,373,603.60
  6. Step 6: Final answer
    x = 1,003,229,060,405.40

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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.