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Finding the Fourth Proportional to 278,360,261,618.15, 417,540,392,427.22 and 278,360,261,618.15

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Solution

The fourth proportional to 278,360,261,618.15, 417,540,392,427.22 and 278,360,261,618.15 is: 417,540,392,427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,360,261,618.15 : 417,540,392,427.22 = 278,360,261,618.15 : x
  2. Step 2: Convert to fraction form
    278,360,261,618.15/417,540,392,427.22 = 278,360,261,618.15/x
  3. Step 3: Cross multiply
    278,360,261,618.15x = 417,540,392,427.22 × 278,360,261,618.15
  4. Step 4: Simplify right side
    278,360,261,618.15x = 116,226,652,872,185,982,484,480
  5. Step 5: Solve for x
    x = 116,226,652,872,185,982,484,480/278,360,261,618.15
  6. Step 6: Final answer
    x = 417,540,392,427.22

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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.