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Finding the Fourth Proportional to 361,392,006.60, 542,088,009.90 and 306,972,448.20

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Solution

The fourth proportional to 361,392,006.60, 542,088,009.90 and 306,972,448.20 is: 460,458,672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,392,006.60 : 542,088,009.90 = 306,972,448.20 : x
  2. Step 2: Convert to fraction form
    361,392,006.60/542,088,009.90 = 306,972,448.20/x
  3. Step 3: Cross multiply
    361,392,006.60x = 542,088,009.90 × 306,972,448.20
  4. Step 4: Simplify right side
    361,392,006.60x = 166,406,083,538,868,832
  5. Step 5: Solve for x
    x = 166,406,083,538,868,832/361,392,006.60
  6. Step 6: Final answer
    x = 460,458,672.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.