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Finding the Fourth Proportional to 976,902,457.60, 1,465,353,686.40 and 970,100,012.80

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Solution

The fourth proportional to 976,902,457.60, 1,465,353,686.40 and 970,100,012.80 is: 1,455,150,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,902,457.60 : 1,465,353,686.40 = 970,100,012.80 : x
  2. Step 2: Convert to fraction form
    976,902,457.60/1,465,353,686.40 = 970,100,012.80/x
  3. Step 3: Cross multiply
    976,902,457.60x = 1,465,353,686.40 × 970,100,012.80
  4. Step 4: Simplify right side
    976,902,457.60x = 1,421,539,629,933,167,104
  5. Step 5: Solve for x
    x = 1,421,539,629,933,167,104/976,902,457.60
  6. Step 6: Final answer
    x = 1,455,150,019.20

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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.