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Finding the Fourth Proportional to 442,920,009.60, 664,380,014.40 and 417,410,841.60

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Solution

The fourth proportional to 442,920,009.60, 664,380,014.40 and 417,410,841.60 is: 626,116,262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,920,009.60 : 664,380,014.40 = 417,410,841.60 : x
  2. Step 2: Convert to fraction form
    442,920,009.60/664,380,014.40 = 417,410,841.60/x
  3. Step 3: Cross multiply
    442,920,009.60x = 664,380,014.40 × 417,410,841.60
  4. Step 4: Simplify right side
    442,920,009.60x = 277,319,420,952,924,128
  5. Step 5: Solve for x
    x = 277,319,420,952,924,128/442,920,009.60
  6. Step 6: Final answer
    x = 626,116,262.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.