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Finding the Fourth Proportional to 71,318,811.60, 106,978,217.40 and 17,466,123.60

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Solution

The fourth proportional to 71,318,811.60, 106,978,217.40 and 17,466,123.60 is: 26,199,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,318,811.60 : 106,978,217.40 = 17,466,123.60 : x
  2. Step 2: Convert to fraction form
    71,318,811.60/106,978,217.40 = 17,466,123.60/x
  3. Step 3: Cross multiply
    71,318,811.60x = 106,978,217.40 × 17,466,123.60
  4. Step 4: Simplify right side
    71,318,811.60x = 1,868,494,767,616,071
  5. Step 5: Solve for x
    x = 1,868,494,767,616,071/71,318,811.60
  6. Step 6: Final answer
    x = 26,199,185.40

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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.