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Finding the Fourth Proportional to 509,947,809.40, 764,921,714.10 and 164,936,312.20

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Solution

The fourth proportional to 509,947,809.40, 764,921,714.10 and 164,936,312.20 is: 247,404,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,947,809.40 : 764,921,714.10 = 164,936,312.20 : x
  2. Step 2: Convert to fraction form
    509,947,809.40/764,921,714.10 = 164,936,312.20/x
  3. Step 3: Cross multiply
    509,947,809.40x = 764,921,714.10 × 164,936,312.20
  4. Step 4: Simplify right side
    509,947,809.40x = 126,163,366,645,356,736
  5. Step 5: Solve for x
    x = 126,163,366,645,356,736/509,947,809.40
  6. Step 6: Final answer
    x = 247,404,468.30

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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.