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Finding the Fourth Proportional to 145,254,902.40, 217,882,353.60 and 145,254,902.40

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Solution

The fourth proportional to 145,254,902.40, 217,882,353.60 and 145,254,902.40 is: 217,882,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,254,902.40 : 217,882,353.60 = 145,254,902.40 : x
  2. Step 2: Convert to fraction form
    145,254,902.40/217,882,353.60 = 145,254,902.40/x
  3. Step 3: Cross multiply
    145,254,902.40x = 217,882,353.60 × 145,254,902.40
  4. Step 4: Simplify right side
    145,254,902.40x = 31,648,480,006,850,288
  5. Step 5: Solve for x
    x = 31,648,480,006,850,288/145,254,902.40
  6. Step 6: Final answer
    x = 217,882,353.60

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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.