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Finding the Fourth Proportional to 12,413,136,464.70, 17,421,926,697.30 and 12,413,136,464.70

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Solution

The fourth proportional to 12,413,136,464.70, 17,421,926,697.30 and 12,413,136,464.70 is: 17,421,926,697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413,136,464.70 : 17,421,926,697.30 = 12,413,136,464.70 : x
  2. Step 2: Convert to fraction form
    12,413,136,464.70/17,421,926,697.30 = 12,413,136,464.70/x
  3. Step 3: Cross multiply
    12,413,136,464.70x = 17,421,926,697.30 × 12,413,136,464.70
  4. Step 4: Simplify right side
    12,413,136,464.70x = 216,260,753,571,585,064,960
  5. Step 5: Solve for x
    x = 216,260,753,571,585,064,960/12,413,136,464.70
  6. Step 6: Final answer
    x = 17,421,926,697.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.