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Finding the Fourth Proportional to 427,182,507.60, 599,415,999.60 and 427,182,507.60

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Solution

The fourth proportional to 427,182,507.60, 599,415,999.60 and 427,182,507.60 is: 599,415,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,182,507.60 : 599,415,999.60 = 427,182,507.60 : x
  2. Step 2: Convert to fraction form
    427,182,507.60/599,415,999.60 = 427,182,507.60/x
  3. Step 3: Cross multiply
    427,182,507.60x = 599,415,999.60 × 427,182,507.60
  4. Step 4: Simplify right side
    427,182,507.60x = 256,060,029,804,688,608
  5. Step 5: Solve for x
    x = 256,060,029,804,688,608/427,182,507.60
  6. Step 6: Final answer
    x = 599,415,999.60

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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.