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Finding the Fourth Proportional to 11,909,290,717.20, 17,863,936,075.80 and 11,909,290,717.20

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Solution

The fourth proportional to 11,909,290,717.20, 17,863,936,075.80 and 11,909,290,717.20 is: 17,863,936,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909,290,717.20 : 17,863,936,075.80 = 11,909,290,717.20 : x
  2. Step 2: Convert to fraction form
    11,909,290,717.20/17,863,936,075.80 = 11,909,290,717.20/x
  3. Step 3: Cross multiply
    11,909,290,717.20x = 17,863,936,075.80 × 11,909,290,717.20
  4. Step 4: Simplify right side
    11,909,290,717.20x = 212,746,808,080,179,134,464
  5. Step 5: Solve for x
    x = 212,746,808,080,179,134,464/11,909,290,717.20
  6. Step 6: Final answer
    x = 17,863,936,075.80

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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.