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Finding the Fourth Proportional to 265,845,009.60, 399,178,087.20 and 144,912,657.60

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Solution

The fourth proportional to 265,845,009.60, 399,178,087.20 and 144,912,657.60 is: 217,592,790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,845,009.60 : 399,178,087.20 = 144,912,657.60 : x
  2. Step 2: Convert to fraction form
    265,845,009.60/399,178,087.20 = 144,912,657.60/x
  3. Step 3: Cross multiply
    265,845,009.60x = 399,178,087.20 × 144,912,657.60
  4. Step 4: Simplify right side
    265,845,009.60x = 57,845,957,471,836,536
  5. Step 5: Solve for x
    x = 57,845,957,471,836,536/265,845,009.60
  6. Step 6: Final answer
    x = 217,592,790.47

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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.