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Finding the Fourth Proportional to 976,897,307.60, 1,465,345,961.40 and 970,094,862.80

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Solution

The fourth proportional to 976,897,307.60, 1,465,345,961.40 and 970,094,862.80 is: 1,455,142,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,897,307.60 : 1,465,345,961.40 = 970,094,862.80 : x
  2. Step 2: Convert to fraction form
    976,897,307.60/1,465,345,961.40 = 970,094,862.80/x
  3. Step 3: Cross multiply
    976,897,307.60x = 1,465,345,961.40 × 970,094,862.80
  4. Step 4: Simplify right side
    976,897,307.60x = 1,421,524,589,378,867,200
  5. Step 5: Solve for x
    x = 1,421,524,589,378,867,200/976,897,307.60
  6. Step 6: Final answer
    x = 1,455,142,294.20

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1.5x scale

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.