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Finding the Fourth Proportional to 47,572,652.80, 66,458,224.85 and 47,572,652.80

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Solution

The fourth proportional to 47,572,652.80, 66,458,224.85 and 47,572,652.80 is: 66,458,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,572,652.80 : 66,458,224.85 = 47,572,652.80 : x
  2. Step 2: Convert to fraction form
    47,572,652.80/66,458,224.85 = 47,572,652.80/x
  3. Step 3: Cross multiply
    47,572,652.80x = 66,458,224.85 × 47,572,652.80
  4. Step 4: Simplify right side
    47,572,652.80x = 3,161,594,056,493,382
  5. Step 5: Solve for x
    x = 3,161,594,056,493,382/47,572,652.80
  6. Step 6: Final answer
    x = 66,458,224.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.