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Finding the Fourth Proportional to 353,644,703,999.40, 530,467,055,999.10 and 353,644,703,999.40

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Solution

The fourth proportional to 353,644,703,999.40, 530,467,055,999.10 and 353,644,703,999.40 is: 530,467,055,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,644,703,999.40 : 530,467,055,999.10 = 353,644,703,999.40 : x
  2. Step 2: Convert to fraction form
    353,644,703,999.40/530,467,055,999.10 = 353,644,703,999.40/x
  3. Step 3: Cross multiply
    353,644,703,999.40x = 530,467,055,999.10 × 353,644,703,999.40
  4. Step 4: Simplify right side
    353,644,703,999.40x = 187,596,865,000,234,874,306,560
  5. Step 5: Solve for x
    x = 187,596,865,000,234,874,306,560/353,644,703,999.40
  6. Step 6: Final answer
    x = 530,467,055,999.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.