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Finding the Fourth Proportional to 976,897,223.10, 1,465,345,834.65 and 970,094,778.30

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Solution

The fourth proportional to 976,897,223.10, 1,465,345,834.65 and 970,094,778.30 is: 1,455,142,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,897,223.10 : 1,465,345,834.65 = 970,094,778.30 : x
  2. Step 2: Convert to fraction form
    976,897,223.10/1,465,345,834.65 = 970,094,778.30/x
  3. Step 3: Cross multiply
    976,897,223.10x = 1,465,345,834.65 × 970,094,778.30
  4. Step 4: Simplify right side
    976,897,223.10x = 1,421,524,342,597,620,224
  5. Step 5: Solve for x
    x = 1,421,524,342,597,620,224/976,897,223.10
  6. Step 6: Final answer
    x = 1,455,142,167.45

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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.