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Finding the Fourth Proportional to 12,187,890,337.30, 18,281,835,505.95 and 12,187,890,337.30

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Solution

The fourth proportional to 12,187,890,337.30, 18,281,835,505.95 and 12,187,890,337.30 is: 18,281,835,505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187,890,337.30 : 18,281,835,505.95 = 12,187,890,337.30 : x
  2. Step 2: Convert to fraction form
    12,187,890,337.30/18,281,835,505.95 = 12,187,890,337.30/x
  3. Step 3: Cross multiply
    12,187,890,337.30x = 18,281,835,505.95 × 12,187,890,337.30
  4. Step 4: Simplify right side
    12,187,890,337.30x = 222,817,006,311,076,069,376
  5. Step 5: Solve for x
    x = 222,817,006,311,076,069,376/12,187,890,337.30
  6. Step 6: Final answer
    x = 18,281,835,505.95

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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.