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Finding the Fourth Proportional to 567,842,493.60, 851,763,740.40 and 204,289,610.40

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Solution

The fourth proportional to 567,842,493.60, 851,763,740.40 and 204,289,610.40 is: 306,434,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,842,493.60 : 851,763,740.40 = 204,289,610.40 : x
  2. Step 2: Convert to fraction form
    567,842,493.60/851,763,740.40 = 204,289,610.40/x
  3. Step 3: Cross multiply
    567,842,493.60x = 851,763,740.40 × 204,289,610.40
  4. Step 4: Simplify right side
    567,842,493.60x = 174,006,482,679,162,752
  5. Step 5: Solve for x
    x = 174,006,482,679,162,752/567,842,493.60
  6. Step 6: Final answer
    x = 306,434,415.60

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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.