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Finding the Fourth Proportional to 47,830,181,254.20, 71,745,271,881.30 and 47,830,181,254.20

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Solution

The fourth proportional to 47,830,181,254.20, 71,745,271,881.30 and 47,830,181,254.20 is: 71,745,271,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,830,181,254.20 : 71,745,271,881.30 = 47,830,181,254.20 : x
  2. Step 2: Convert to fraction form
    47,830,181,254.20/71,745,271,881.30 = 47,830,181,254.20/x
  3. Step 3: Cross multiply
    47,830,181,254.20x = 71,745,271,881.30 × 47,830,181,254.20
  4. Step 4: Simplify right side
    47,830,181,254.20x = 3,431,589,358,214,437,666,816
  5. Step 5: Solve for x
    x = 3,431,589,358,214,437,666,816/47,830,181,254.20
  6. Step 6: Final answer
    x = 71,745,271,881.30

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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.