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Finding the Fourth Proportional to 224,669,871.60, 337,004,807.40 and 185,702,780.40

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Solution

The fourth proportional to 224,669,871.60, 337,004,807.40 and 185,702,780.40 is: 278,554,170.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,669,871.60 : 337,004,807.40 = 185,702,780.40 : x
  2. Step 2: Convert to fraction form
    224,669,871.60/337,004,807.40 = 185,702,780.40/x
  3. Step 3: Cross multiply
    224,669,871.60x = 337,004,807.40 × 185,702,780.40
  4. Step 4: Simplify right side
    224,669,871.60x = 62,582,729,742,346,496
  5. Step 5: Solve for x
    x = 62,582,729,742,346,496/224,669,871.60
  6. Step 6: Final answer
    x = 278,554,170.60

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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.