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Finding the Fourth Proportional to 88,145,214,378.55, 132,217,821,567.82 and 88,145,214,378.55

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Solution

The fourth proportional to 88,145,214,378.55, 132,217,821,567.82 and 88,145,214,378.55 is: 132,217,821,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,145,214,378.55 : 132,217,821,567.82 = 88,145,214,378.55 : x
  2. Step 2: Convert to fraction form
    88,145,214,378.55/132,217,821,567.82 = 88,145,214,378.55/x
  3. Step 3: Cross multiply
    88,145,214,378.55x = 132,217,821,567.82 × 88,145,214,378.55
  4. Step 4: Simplify right side
    88,145,214,378.55x = 11,654,368,226,760,365,965,312
  5. Step 5: Solve for x
    x = 11,654,368,226,760,365,965,312/88,145,214,378.55
  6. Step 6: Final answer
    x = 132,217,821,567.82

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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.