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Finding the Fourth Proportional to 580,896,999.40, 815,296,532.60 and 580,896,999.40

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Solution

The fourth proportional to 580,896,999.40, 815,296,532.60 and 580,896,999.40 is: 815,296,532.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,896,999.40 : 815,296,532.60 = 580,896,999.40 : x
  2. Step 2: Convert to fraction form
    580,896,999.40/815,296,532.60 = 580,896,999.40/x
  3. Step 3: Cross multiply
    580,896,999.40x = 815,296,532.60 × 580,896,999.40
  4. Step 4: Simplify right side
    580,896,999.40x = 473,603,309,408,564,288
  5. Step 5: Solve for x
    x = 473,603,309,408,564,288/580,896,999.40
  6. Step 6: Final answer
    x = 815,296,532.60

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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.