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Finding the Fourth Proportional to 976,902,194.10, 1,465,353,291.15 and 970,099,749.30

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Solution

The fourth proportional to 976,902,194.10, 1,465,353,291.15 and 970,099,749.30 is: 1,455,149,623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,902,194.10 : 1,465,353,291.15 = 970,099,749.30 : x
  2. Step 2: Convert to fraction form
    976,902,194.10/1,465,353,291.15 = 970,099,749.30/x
  3. Step 3: Cross multiply
    976,902,194.10x = 1,465,353,291.15 × 970,099,749.30
  4. Step 4: Simplify right side
    976,902,194.10x = 1,421,538,860,380,545,024
  5. Step 5: Solve for x
    x = 1,421,538,860,380,545,024/976,902,194.10
  6. Step 6: Final answer
    x = 1,455,149,623.95

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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.