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Finding the Fourth Proportional to 42,125,999.40, 59,056,025.40 and 42,125,999.40

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Solution

The fourth proportional to 42,125,999.40, 59,056,025.40 and 42,125,999.40 is: 59,056,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,125,999.40 : 59,056,025.40 = 42,125,999.40 : x
  2. Step 2: Convert to fraction form
    42,125,999.40/59,056,025.40 = 42,125,999.40/x
  3. Step 3: Cross multiply
    42,125,999.40x = 59,056,025.40 × 42,125,999.40
  4. Step 4: Simplify right side
    42,125,999.40x = 2,487,794,090,566,784.50
  5. Step 5: Solve for x
    x = 2,487,794,090,566,784.50/42,125,999.40
  6. Step 6: Final answer
    x = 59,056,025.40

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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.