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Finding the Fourth Proportional to 145,204,037.40, 217,806,056.10 and 145,204,037.40

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Solution

The fourth proportional to 145,204,037.40, 217,806,056.10 and 145,204,037.40 is: 217,806,056.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,204,037.40 : 217,806,056.10 = 145,204,037.40 : x
  2. Step 2: Convert to fraction form
    145,204,037.40/217,806,056.10 = 145,204,037.40/x
  3. Step 3: Cross multiply
    145,204,037.40x = 217,806,056.10 × 145,204,037.40
  4. Step 4: Simplify right side
    145,204,037.40x = 31,626,318,715,890,900
  5. Step 5: Solve for x
    x = 31,626,318,715,890,900/145,204,037.40
  6. Step 6: Final answer
    x = 217,806,056.10

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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.