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Finding the Fourth Proportional to 970,375,294.31, 1,455,045,063.21 and 503,566,697.07

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Solution

The fourth proportional to 970,375,294.31, 1,455,045,063.21 and 503,566,697.07 is: 755,081,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,375,294.31 : 1,455,045,063.21 = 503,566,697.07 : x
  2. Step 2: Convert to fraction form
    970,375,294.31/1,455,045,063.21 = 503,566,697.07/x
  3. Step 3: Cross multiply
    970,375,294.31x = 1,455,045,063.21 × 503,566,697.07
  4. Step 4: Simplify right side
    970,375,294.31x = 732,712,236,568,669,056
  5. Step 5: Solve for x
    x = 732,712,236,568,669,056/970,375,294.31
  6. Step 6: Final answer
    x = 755,081,297.79

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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.