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Finding the Fourth Proportional to 6,132,074,638.05, 9,198,111,957.08 and 6,132,074,638.05

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Solution

The fourth proportional to 6,132,074,638.05, 9,198,111,957.08 and 6,132,074,638.05 is: 9,198,111,957.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132,074,638.05 : 9,198,111,957.08 = 6,132,074,638.05 : x
  2. Step 2: Convert to fraction form
    6,132,074,638.05/9,198,111,957.08 = 6,132,074,638.05/x
  3. Step 3: Cross multiply
    6,132,074,638.05x = 9,198,111,957.08 × 6,132,074,638.05
  4. Step 4: Simplify right side
    6,132,074,638.05x = 56,403,509,049,924,067,328
  5. Step 5: Solve for x
    x = 56,403,509,049,924,067,328/6,132,074,638.05
  6. Step 6: Final answer
    x = 9,198,111,957.08

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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.