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Finding the Fourth Proportional to 299,559,901.60, 449,339,852.40 and 146,304,272.80

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Solution

The fourth proportional to 299,559,901.60, 449,339,852.40 and 146,304,272.80 is: 219,456,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,559,901.60 : 449,339,852.40 = 146,304,272.80 : x
  2. Step 2: Convert to fraction form
    299,559,901.60/449,339,852.40 = 146,304,272.80/x
  3. Step 3: Cross multiply
    299,559,901.60x = 449,339,852.40 × 146,304,272.80
  4. Step 4: Simplify right side
    299,559,901.60x = 65,740,340,345,441,336
  5. Step 5: Solve for x
    x = 65,740,340,345,441,336/299,559,901.60
  6. Step 6: Final answer
    x = 219,456,409.20

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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.