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Finding the Fourth Proportional to 54,594,897,998.40, 81,769,902,991.20 and 54,594,897,998.40

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Solution

The fourth proportional to 54,594,897,998.40, 81,769,902,991.20 and 54,594,897,998.40 is: 81,769,902,991.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,594,897,998.40 : 81,769,902,991.20 = 54,594,897,998.40 : x
  2. Step 2: Convert to fraction form
    54,594,897,998.40/81,769,902,991.20 = 54,594,897,998.40/x
  3. Step 3: Cross multiply
    54,594,897,998.40x = 81,769,902,991.20 × 54,594,897,998.40
  4. Step 4: Simplify right side
    54,594,897,998.40x = 4,464,219,513,143,626,825,728
  5. Step 5: Solve for x
    x = 4,464,219,513,143,626,825,728/54,594,897,998.40
  6. Step 6: Final answer
    x = 81,769,902,991.20

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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.