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Finding the Fourth Proportional to 160,775,842,344.10, 241,163,763,516.15 and 160,775,842,344.10

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Solution

The fourth proportional to 160,775,842,344.10, 241,163,763,516.15 and 160,775,842,344.10 is: 241,163,763,516.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,775,842,344.10 : 241,163,763,516.15 = 160,775,842,344.10 : x
  2. Step 2: Convert to fraction form
    160,775,842,344.10/241,163,763,516.15 = 160,775,842,344.10/x
  3. Step 3: Cross multiply
    160,775,842,344.10x = 241,163,763,516.15 × 160,775,842,344.10
  4. Step 4: Simplify right side
    160,775,842,344.10x = 38,773,307,222,182,345,048,064
  5. Step 5: Solve for x
    x = 38,773,307,222,182,345,048,064/160,775,842,344.10
  6. Step 6: Final answer
    x = 241,163,763,516.15

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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.