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Finding the Fourth Proportional to 54,594,897,999.90, 81,769,902,993.45 and 54,594,897,999.90

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Solution

The fourth proportional to 54,594,897,999.90, 81,769,902,993.45 and 54,594,897,999.90 is: 81,769,902,993.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,594,897,999.90 : 81,769,902,993.45 = 54,594,897,999.90 : x
  2. Step 2: Convert to fraction form
    54,594,897,999.90/81,769,902,993.45 = 54,594,897,999.90/x
  3. Step 3: Cross multiply
    54,594,897,999.90x = 81,769,902,993.45 × 54,594,897,999.90
  4. Step 4: Simplify right side
    54,594,897,999.90x = 4,464,219,513,389,120,487,424
  5. Step 5: Solve for x
    x = 4,464,219,513,389,120,487,424/54,594,897,999.90
  6. Step 6: Final answer
    x = 81,769,902,993.45

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1.5x scale

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.