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Finding the Fourth Proportional to 601,220,959,200.45, 901,831,438,800.67 and 601,220,959,200.45

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Solution

The fourth proportional to 601,220,959,200.45, 901,831,438,800.67 and 601,220,959,200.45 is: 901,831,438,800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,220,959,200.45 : 901,831,438,800.67 = 601,220,959,200.45 : x
  2. Step 2: Convert to fraction form
    601,220,959,200.45/901,831,438,800.67 = 601,220,959,200.45/x
  3. Step 3: Cross multiply
    601,220,959,200.45x = 901,831,438,800.67 × 601,220,959,200.45
  4. Step 4: Simplify right side
    601,220,959,200.45x = 542,199,962,672,860,726,558,720
  5. Step 5: Solve for x
    x = 542,199,962,672,860,726,558,720/601,220,959,200.45
  6. Step 6: Final answer
    x = 901,831,438,800.67

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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.