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Finding the Fourth Proportional to 976,897,219.60, 1,465,345,829.40 and 970,094,774.80

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Solution

The fourth proportional to 976,897,219.60, 1,465,345,829.40 and 970,094,774.80 is: 1,455,142,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,897,219.60 : 1,465,345,829.40 = 970,094,774.80 : x
  2. Step 2: Convert to fraction form
    976,897,219.60/1,465,345,829.40 = 970,094,774.80/x
  3. Step 3: Cross multiply
    976,897,219.60x = 1,465,345,829.40 × 970,094,774.80
  4. Step 4: Simplify right side
    976,897,219.60x = 1,421,524,332,375,912,192
  5. Step 5: Solve for x
    x = 1,421,524,332,375,912,192/976,897,219.60
  6. Step 6: Final answer
    x = 1,455,142,162.20

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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.