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Finding the Fourth Proportional to 419,832,576,230.40, 629,748,864,345.60 and 419,832,576,230.40

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Solution

The fourth proportional to 419,832,576,230.40, 629,748,864,345.60 and 419,832,576,230.40 is: 629,748,864,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,832,576,230.40 : 629,748,864,345.60 = 419,832,576,230.40 : x
  2. Step 2: Convert to fraction form
    419,832,576,230.40/629,748,864,345.60 = 419,832,576,230.40/x
  3. Step 3: Cross multiply
    419,832,576,230.40x = 629,748,864,345.60 × 419,832,576,230.40
  4. Step 4: Simplify right side
    419,832,576,230.40x = 264,389,088,096,381,948,657,664
  5. Step 5: Solve for x
    x = 264,389,088,096,381,948,657,664/419,832,576,230.40
  6. Step 6: Final answer
    x = 629,748,864,345.60

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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.