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Finding the Fourth Proportional to 419,832,577,823.40, 629,748,866,735.10 and 419,832,577,823.40

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Solution

The fourth proportional to 419,832,577,823.40, 629,748,866,735.10 and 419,832,577,823.40 is: 629,748,866,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,832,577,823.40 : 629,748,866,735.10 = 419,832,577,823.40 : x
  2. Step 2: Convert to fraction form
    419,832,577,823.40/629,748,866,735.10 = 419,832,577,823.40/x
  3. Step 3: Cross multiply
    419,832,577,823.40x = 629,748,866,735.10 × 419,832,577,823.40
  4. Step 4: Simplify right side
    419,832,577,823.40x = 264,389,090,102,761,828,122,624
  5. Step 5: Solve for x
    x = 264,389,090,102,761,828,122,624/419,832,577,823.40
  6. Step 6: Final answer
    x = 629,748,866,735.10

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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.