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Finding the Fourth Proportional to 38,076,157,400.40, 57,114,236,100.60 and 38,076,157,400.40

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Solution

The fourth proportional to 38,076,157,400.40, 57,114,236,100.60 and 38,076,157,400.40 is: 57,114,236,100.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,076,157,400.40 : 57,114,236,100.60 = 38,076,157,400.40 : x
  2. Step 2: Convert to fraction form
    38,076,157,400.40/57,114,236,100.60 = 38,076,157,400.40/x
  3. Step 3: Cross multiply
    38,076,157,400.40x = 57,114,236,100.60 × 38,076,157,400.40
  4. Step 4: Simplify right side
    38,076,157,400.40x = 2,174,690,643,570,053,611,520
  5. Step 5: Solve for x
    x = 2,174,690,643,570,053,611,520/38,076,157,400.40
  6. Step 6: Final answer
    x = 57,114,236,100.60

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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.