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Finding the Fourth Proportional to 55,331,347.20, 82,847,721.60 and 55,331,347.20

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Solution

The fourth proportional to 55,331,347.20, 82,847,721.60 and 55,331,347.20 is: 82,847,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,331,347.20 : 82,847,721.60 = 55,331,347.20 : x
  2. Step 2: Convert to fraction form
    55,331,347.20/82,847,721.60 = 55,331,347.20/x
  3. Step 3: Cross multiply
    55,331,347.20x = 82,847,721.60 × 55,331,347.20
  4. Step 4: Simplify right side
    55,331,347.20x = 4,584,076,048,578,539
  5. Step 5: Solve for x
    x = 4,584,076,048,578,539/55,331,347.20
  6. Step 6: Final answer
    x = 82,847,721.60

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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.