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Finding the Fourth Proportional to 304,909,822.56, 420,774,639.12 and 165,681,009.12

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Solution

The fourth proportional to 304,909,822.56, 420,774,639.12 and 165,681,009.12 is: 228,639,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,909,822.56 : 420,774,639.12 = 165,681,009.12 : x
  2. Step 2: Convert to fraction form
    304,909,822.56/420,774,639.12 = 165,681,009.12/x
  3. Step 3: Cross multiply
    304,909,822.56x = 420,774,639.12 × 165,681,009.12
  4. Step 4: Simplify right side
    304,909,822.56x = 69,714,366,821,505,432
  5. Step 5: Solve for x
    x = 69,714,366,821,505,432/304,909,822.56
  6. Step 6: Final answer
    x = 228,639,294.85

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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.