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Finding the Fourth Proportional to 166,345,229,770.90, 249,517,844,656.35 and 166,345,229,770.90

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Solution

The fourth proportional to 166,345,229,770.90, 249,517,844,656.35 and 166,345,229,770.90 is: 249,517,844,656.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,345,229,770.90 : 249,517,844,656.35 = 166,345,229,770.90 : x
  2. Step 2: Convert to fraction form
    166,345,229,770.90/249,517,844,656.35 = 166,345,229,770.90/x
  3. Step 3: Cross multiply
    166,345,229,770.90x = 249,517,844,656.35 × 166,345,229,770.90
  4. Step 4: Simplify right side
    166,345,229,770.90x = 41,506,103,201,300,274,479,104
  5. Step 5: Solve for x
    x = 41,506,103,201,300,274,479,104/166,345,229,770.90
  6. Step 6: Final answer
    x = 249,517,844,656.35

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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.