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Finding the Fourth Proportional to 669,192,201,000.20, 1,003,788,301,500.30 and 669,192,201,000.20

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Solution

The fourth proportional to 669,192,201,000.20, 1,003,788,301,500.30 and 669,192,201,000.20 is: 1,003,788,301,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,192,201,000.20 : 1,003,788,301,500.30 = 669,192,201,000.20 : x
  2. Step 2: Convert to fraction form
    669,192,201,000.20/1,003,788,301,500.30 = 669,192,201,000.20/x
  3. Step 3: Cross multiply
    669,192,201,000.20x = 1,003,788,301,500.30 × 669,192,201,000.20
  4. Step 4: Simplify right side
    669,192,201,000.20x = 671,727,302,819,238,092,210,176
  5. Step 5: Solve for x
    x = 671,727,302,819,238,092,210,176/669,192,201,000.20
  6. Step 6: Final answer
    x = 1,003,788,301,500.30

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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.