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Finding the Fourth Proportional to 668,819,373,605.10, 1,003,229,060,407.60 and 668,819,373,605.10

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Solution

The fourth proportional to 668,819,373,605.10, 1,003,229,060,407.60 and 668,819,373,605.10 is: 1,003,229,060,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,819,373,605.10 : 1,003,229,060,407.60 = 668,819,373,605.10 : x
  2. Step 2: Convert to fraction form
    668,819,373,605.10/1,003,229,060,407.60 = 668,819,373,605.10/x
  3. Step 3: Cross multiply
    668,819,373,605.10x = 1,003,229,060,407.60 × 668,819,373,605.10
  4. Step 4: Simplify right side
    668,819,373,605.10x = 670,979,031,764,243,960,561,664
  5. Step 5: Solve for x
    x = 670,979,031,764,243,960,561,664/668,819,373,605.10
  6. Step 6: Final answer
    x = 1,003,229,060,407.60

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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.