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Finding the Fourth Proportional to 410,227,848,049.20, 615,341,772,073.75 and 410,227,848,049.20

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Solution

The fourth proportional to 410,227,848,049.20, 615,341,772,073.75 and 410,227,848,049.20 is: 615,341,772,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,227,848,049.20 : 615,341,772,073.75 = 410,227,848,049.20 : x
  2. Step 2: Convert to fraction form
    410,227,848,049.20/615,341,772,073.75 = 410,227,848,049.20/x
  3. Step 3: Cross multiply
    410,227,848,049.20x = 615,341,772,073.75 × 410,227,848,049.20
  4. Step 4: Simplify right side
    410,227,848,049.20x = 252,430,330,972,595,791,331,328
  5. Step 5: Solve for x
    x = 252,430,330,972,595,791,331,328/410,227,848,049.20
  6. Step 6: Final answer
    x = 615,341,772,073.75

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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.