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Finding the Fourth Proportional to 402,977,714.40, 605,810,264.40 and 343,855,231.20

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Solution

The fourth proportional to 402,977,714.40, 605,810,264.40 and 343,855,231.20 is: 516,929,401.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,977,714.40 : 605,810,264.40 = 343,855,231.20 : x
  2. Step 2: Convert to fraction form
    402,977,714.40/605,810,264.40 = 343,855,231.20/x
  3. Step 3: Cross multiply
    402,977,714.40x = 605,810,264.40 × 343,855,231.20
  4. Step 4: Simplify right side
    402,977,714.40x = 208,311,028,528,595,104
  5. Step 5: Solve for x
    x = 208,311,028,528,595,104/402,977,714.40
  6. Step 6: Final answer
    x = 516,929,401.02

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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.