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Finding the Fourth Proportional to 20,186,335,409.70, 30,279,503,114.55 and 20,186,335,409.70

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Solution

The fourth proportional to 20,186,335,409.70, 30,279,503,114.55 and 20,186,335,409.70 is: 30,279,503,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186,335,409.70 : 30,279,503,114.55 = 20,186,335,409.70 : x
  2. Step 2: Convert to fraction form
    20,186,335,409.70/30,279,503,114.55 = 20,186,335,409.70/x
  3. Step 3: Cross multiply
    20,186,335,409.70x = 30,279,503,114.55 × 20,186,335,409.70
  4. Step 4: Simplify right side
    20,186,335,409.70x = 611,232,205,909,362,081,792
  5. Step 5: Solve for x
    x = 611,232,205,909,362,081,792/20,186,335,409.70
  6. Step 6: Final answer
    x = 30,279,503,114.55

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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.