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Finding the Fourth Proportional to 20,403,403,409.70, 30,605,105,114.55 and 20,403,403,409.70

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Solution

The fourth proportional to 20,403,403,409.70, 30,605,105,114.55 and 20,403,403,409.70 is: 30,605,105,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,403,403,409.70 : 30,605,105,114.55 = 20,403,403,409.70 : x
  2. Step 2: Convert to fraction form
    20,403,403,409.70/30,605,105,114.55 = 20,403,403,409.70/x
  3. Step 3: Cross multiply
    20,403,403,409.70x = 30,605,105,114.55 × 20,403,403,409.70
  4. Step 4: Simplify right side
    20,403,403,409.70x = 624,448,306,048,436,404,224
  5. Step 5: Solve for x
    x = 624,448,306,048,436,404,224/20,403,403,409.70
  6. Step 6: Final answer
    x = 30,605,105,114.55

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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.