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Finding the Fourth Proportional to 24,194,821,701.60, 36,292,232,552.40 and 24,194,821,701.60

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Solution

The fourth proportional to 24,194,821,701.60, 36,292,232,552.40 and 24,194,821,701.60 is: 36,292,232,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194,821,701.60 : 36,292,232,552.40 = 24,194,821,701.60 : x
  2. Step 2: Convert to fraction form
    24,194,821,701.60/36,292,232,552.40 = 24,194,821,701.60/x
  3. Step 3: Cross multiply
    24,194,821,701.60x = 36,292,232,552.40 × 24,194,821,701.60
  4. Step 4: Simplify right side
    24,194,821,701.60x = 878,084,095,758,321,451,008
  5. Step 5: Solve for x
    x = 878,084,095,758,321,451,008/24,194,821,701.60
  6. Step 6: Final answer
    x = 36,292,232,552.40

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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.