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Finding the Fourth Proportional to 297,977,313.09, 411,205,428.87 and 164,012,365.15

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Solution

The fourth proportional to 297,977,313.09, 411,205,428.87 and 164,012,365.15 is: 226,335,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,977,313.09 : 411,205,428.87 = 164,012,365.15 : x
  2. Step 2: Convert to fraction form
    297,977,313.09/411,205,428.87 = 164,012,365.15/x
  3. Step 3: Cross multiply
    297,977,313.09x = 411,205,428.87 × 164,012,365.15
  4. Step 4: Simplify right side
    297,977,313.09x = 67,442,774,950,460,784
  5. Step 5: Solve for x
    x = 67,442,774,950,460,784/297,977,313.09
  6. Step 6: Final answer
    x = 226,335,267.78

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