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Finding the Fourth Proportional to 2,042,072,783.70, 3,063,109,175.56 and 2,042,072,783.70

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Solution

The fourth proportional to 2,042,072,783.70, 3,063,109,175.56 and 2,042,072,783.70 is: 3,063,109,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042,072,783.70 : 3,063,109,175.56 = 2,042,072,783.70 : x
  2. Step 2: Convert to fraction form
    2,042,072,783.70/3,063,109,175.56 = 2,042,072,783.70/x
  3. Step 3: Cross multiply
    2,042,072,783.70x = 3,063,109,175.56 × 2,042,072,783.70
  4. Step 4: Simplify right side
    2,042,072,783.70x = 6,255,091,880,912,821,248
  5. Step 5: Solve for x
    x = 6,255,091,880,912,821,248/2,042,072,783.70
  6. Step 6: Final answer
    x = 3,063,109,175.56

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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.