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Finding the Fourth Proportional to 285,148,971,000.45, 427,723,456,500.68 and 285,148,971,000.45

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Solution

The fourth proportional to 285,148,971,000.45, 427,723,456,500.68 and 285,148,971,000.45 is: 427,723,456,500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,148,971,000.45 : 427,723,456,500.68 = 285,148,971,000.45 : x
  2. Step 2: Convert to fraction form
    285,148,971,000.45/427,723,456,500.68 = 285,148,971,000.45/x
  3. Step 3: Cross multiply
    285,148,971,000.45x = 427,723,456,500.68 × 285,148,971,000.45
  4. Step 4: Simplify right side
    285,148,971,000.45x = 121,964,903,493,924,638,687,232
  5. Step 5: Solve for x
    x = 121,964,903,493,924,638,687,232/285,148,971,000.45
  6. Step 6: Final answer
    x = 427,723,456,500.68

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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.