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Finding the Fourth Proportional to 266,392,277,752.88, 399,611,908,978.68 and 75,165,992,472.68

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Solution

The fourth proportional to 266,392,277,752.88, 399,611,908,978.68 and 75,165,992,472.68 is: 112,755,617,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,392,277,752.88 : 399,611,908,978.68 = 75,165,992,472.68 : x
  2. Step 2: Convert to fraction form
    266,392,277,752.88/399,611,908,978.68 = 75,165,992,472.68/x
  3. Step 3: Cross multiply
    266,392,277,752.88x = 399,611,908,978.68 × 75,165,992,472.68
  4. Step 4: Simplify right side
    266,392,277,752.88x = 30,037,225,742,284,741,410,816
  5. Step 5: Solve for x
    x = 30,037,225,742,284,741,410,816/266,392,277,752.88
  6. Step 6: Final answer
    x = 112,755,617,376.23

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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.