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Finding the Fourth Proportional to 411,804,611.44, 617,706,421.36 and 105,096,757.12

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Solution

The fourth proportional to 411,804,611.44, 617,706,421.36 and 105,096,757.12 is: 157,645,009.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,804,611.44 : 617,706,421.36 = 105,096,757.12 : x
  2. Step 2: Convert to fraction form
    411,804,611.44/617,706,421.36 = 105,096,757.12/x
  3. Step 3: Cross multiply
    411,804,611.44x = 617,706,421.36 × 105,096,757.12
  4. Step 4: Simplify right side
    411,804,611.44x = 64,918,941,737,136,304
  5. Step 5: Solve for x
    x = 64,918,941,737,136,304/411,804,611.44
  6. Step 6: Final answer
    x = 157,645,009.15

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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.