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Finding the Fourth Proportional to 11,642,506,813.80, 17,463,760,220.70 and 11,642,506,813.80

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Solution

The fourth proportional to 11,642,506,813.80, 17,463,760,220.70 and 11,642,506,813.80 is: 17,463,760,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642,506,813.80 : 17,463,760,220.70 = 11,642,506,813.80 : x
  2. Step 2: Convert to fraction form
    11,642,506,813.80/17,463,760,220.70 = 11,642,506,813.80/x
  3. Step 3: Cross multiply
    11,642,506,813.80x = 17,463,760,220.70 × 11,642,506,813.80
  4. Step 4: Simplify right side
    11,642,506,813.80x = 203,321,947,364,069,146,624
  5. Step 5: Solve for x
    x = 203,321,947,364,069,146,624/11,642,506,813.80
  6. Step 6: Final answer
    x = 17,463,760,220.70

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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.