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Finding the Fourth Proportional to 297,977,346.77, 411,205,475.21 and 164,012,398.76

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Solution

The fourth proportional to 297,977,346.77, 411,205,475.21 and 164,012,398.76 is: 226,335,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,977,346.77 : 411,205,475.21 = 164,012,398.76 : x
  2. Step 2: Convert to fraction form
    297,977,346.77/411,205,475.21 = 164,012,398.76/x
  3. Step 3: Cross multiply
    297,977,346.77x = 411,205,475.21 × 164,012,398.76
  4. Step 4: Simplify right side
    297,977,346.77x = 67,442,796,372,437,808
  5. Step 5: Solve for x
    x = 67,442,796,372,437,808/297,977,346.77
  6. Step 6: Final answer
    x = 226,335,314.09

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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.