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Finding the Fourth Proportional to 2,470,407,542,072, 3,705,611,313,108.40 and 2,470,407,542,072

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Solution

The fourth proportional to 2,470,407,542,072, 3,705,611,313,108.40 and 2,470,407,542,072 is: 3,705,611,313,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470,407,542,072 : 3,705,611,313,108.40 = 2,470,407,542,072 : x
  2. Step 2: Convert to fraction form
    2,470,407,542,072/3,705,611,313,108.40 = 2,470,407,542,072/x
  3. Step 3: Cross multiply
    2,470,407,542,072x = 3,705,611,313,108.40 × 2,470,407,542,072
  4. Step 4: Simplify right side
    2,470,407,542,072x = 9,154,370,135,890,318,124,384,256
  5. Step 5: Solve for x
    x = 9,154,370,135,890,318,124,384,256/2,470,407,542,072
  6. Step 6: Final answer
    x = 3,705,611,313,108.40

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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.