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Finding the Fourth Proportional to 982,522,223,740.35, 1,473,783,335,610.60 and 982,522,223,740.35

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Solution

The fourth proportional to 982,522,223,740.35, 1,473,783,335,610.60 and 982,522,223,740.35 is: 1,473,783,335,610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,522,223,740.35 : 1,473,783,335,610.60 = 982,522,223,740.35 : x
  2. Step 2: Convert to fraction form
    982,522,223,740.35/1,473,783,335,610.60 = 982,522,223,740.35/x
  3. Step 3: Cross multiply
    982,522,223,740.35x = 1,473,783,335,610.60 × 982,522,223,740.35
  4. Step 4: Simplify right side
    982,522,223,740.35x = 1,448,024,880,215,597,346,979,840
  5. Step 5: Solve for x
    x = 1,448,024,880,215,597,346,979,840/982,522,223,740.35
  6. Step 6: Final answer
    x = 1,473,783,335,610.60

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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.