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Finding the Fourth Proportional to 829,799,749.22, 1,145,188,931.37 and 472,582,630.99

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Solution

The fourth proportional to 829,799,749.22, 1,145,188,931.37 and 472,582,630.99 is: 652,201,207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,799,749.22 : 1,145,188,931.37 = 472,582,630.99 : x
  2. Step 2: Convert to fraction form
    829,799,749.22/1,145,188,931.37 = 472,582,630.99/x
  3. Step 3: Cross multiply
    829,799,749.22x = 1,145,188,931.37 × 472,582,630.99
  4. Step 4: Simplify right side
    829,799,749.22x = 541,196,398,171,023,680
  5. Step 5: Solve for x
    x = 541,196,398,171,023,680/829,799,749.22
  6. Step 6: Final answer
    x = 652,201,207.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.