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Finding the Fourth Proportional to 614,565,540.95, 921,848,311.43 and 614,565,540.95

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Solution

The fourth proportional to 614,565,540.95, 921,848,311.43 and 614,565,540.95 is: 921,848,311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,565,540.95 : 921,848,311.43 = 614,565,540.95 : x
  2. Step 2: Convert to fraction form
    614,565,540.95/921,848,311.43 = 614,565,540.95/x
  3. Step 3: Cross multiply
    614,565,540.95x = 921,848,311.43 × 614,565,540.95
  4. Step 4: Simplify right side
    614,565,540.95x = 566,536,206,187,822,016
  5. Step 5: Solve for x
    x = 566,536,206,187,822,016/614,565,540.95
  6. Step 6: Final answer
    x = 921,848,311.43

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1.5x scale

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.