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Finding the Fourth Proportional to 55,282,643.10, 82,923,964.65 and 55,282,643.10

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Solution

The fourth proportional to 55,282,643.10, 82,923,964.65 and 55,282,643.10 is: 82,923,964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,282,643.10 : 82,923,964.65 = 55,282,643.10 : x
  2. Step 2: Convert to fraction form
    55,282,643.10/82,923,964.65 = 55,282,643.10/x
  3. Step 3: Cross multiply
    55,282,643.10x = 82,923,964.65 × 55,282,643.10
  4. Step 4: Simplify right side
    55,282,643.10x = 4,584,255,942,182,967
  5. Step 5: Solve for x
    x = 4,584,255,942,182,967/55,282,643.10
  6. Step 6: Final answer
    x = 82,923,964.65

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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.