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Finding the Fourth Proportional to 976,902,214.60, 1,465,353,321.90 and 970,099,769.80

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Solution

The fourth proportional to 976,902,214.60, 1,465,353,321.90 and 970,099,769.80 is: 1,455,149,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,902,214.60 : 1,465,353,321.90 = 970,099,769.80 : x
  2. Step 2: Convert to fraction form
    976,902,214.60/1,465,353,321.90 = 970,099,769.80/x
  3. Step 3: Cross multiply
    976,902,214.60x = 1,465,353,321.90 × 970,099,769.80
  4. Step 4: Simplify right side
    976,902,214.60x = 1,421,538,920,250,855,424
  5. Step 5: Solve for x
    x = 1,421,538,920,250,855,424/976,902,214.60
  6. Step 6: Final answer
    x = 1,455,149,654.70

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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.