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Finding the Fourth Proportional to 278,577,422.70, 417,866,134.05 and 278,577,422.70

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Solution

The fourth proportional to 278,577,422.70, 417,866,134.05 and 278,577,422.70 is: 417,866,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,577,422.70 : 417,866,134.05 = 278,577,422.70 : x
  2. Step 2: Convert to fraction form
    278,577,422.70/417,866,134.05 = 278,577,422.70/x
  3. Step 3: Cross multiply
    278,577,422.70x = 417,866,134.05 × 278,577,422.70
  4. Step 4: Simplify right side
    278,577,422.70x = 116,408,070,657,261,712
  5. Step 5: Solve for x
    x = 116,408,070,657,261,712/278,577,422.70
  6. Step 6: Final answer
    x = 417,866,134.05

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Why These Related Problems?

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