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Finding the Fourth Proportional to 580,896,153.60, 871,344,230.40 and 217,343,270.40

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Solution

The fourth proportional to 580,896,153.60, 871,344,230.40 and 217,343,270.40 is: 326,014,905.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,896,153.60 : 871,344,230.40 = 217,343,270.40 : x
  2. Step 2: Convert to fraction form
    580,896,153.60/871,344,230.40 = 217,343,270.40/x
  3. Step 3: Cross multiply
    580,896,153.60x = 871,344,230.40 × 217,343,270.40
  4. Step 4: Simplify right side
    580,896,153.60x = 189,380,804,679,307,104
  5. Step 5: Solve for x
    x = 189,380,804,679,307,104/580,896,153.60
  6. Step 6: Final answer
    x = 326,014,905.60

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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.