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Finding the Fourth Proportional to 11,543,472,043.20, 17,315,208,064.80 and 11,543,472,043.20

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Solution

The fourth proportional to 11,543,472,043.20, 17,315,208,064.80 and 11,543,472,043.20 is: 17,315,208,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543,472,043.20 : 17,315,208,064.80 = 11,543,472,043.20 : x
  2. Step 2: Convert to fraction form
    11,543,472,043.20/17,315,208,064.80 = 11,543,472,043.20/x
  3. Step 3: Cross multiply
    11,543,472,043.20x = 17,315,208,064.80 × 11,543,472,043.20
  4. Step 4: Simplify right side
    11,543,472,043.20x = 199,877,620,218,209,992,704
  5. Step 5: Solve for x
    x = 199,877,620,218,209,992,704/11,543,472,043.20
  6. Step 6: Final answer
    x = 17,315,208,064.80

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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.