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Finding the Fourth Proportional to 80,657,339,985.30, 120,986,009,977.95 and 80,657,339,985.30

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Solution

The fourth proportional to 80,657,339,985.30, 120,986,009,977.95 and 80,657,339,985.30 is: 120,986,009,977.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,657,339,985.30 : 120,986,009,977.95 = 80,657,339,985.30 : x
  2. Step 2: Convert to fraction form
    80,657,339,985.30/120,986,009,977.95 = 80,657,339,985.30/x
  3. Step 3: Cross multiply
    80,657,339,985.30x = 120,986,009,977.95 × 80,657,339,985.30
  4. Step 4: Simplify right side
    80,657,339,985.30x = 9,758,409,740,256,410,599,424
  5. Step 5: Solve for x
    x = 9,758,409,740,256,410,599,424/80,657,339,985.30
  6. Step 6: Final answer
    x = 120,986,009,977.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.