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Finding the Fourth Proportional to 551,296,998.30, 772,389,753.90 and 551,296,998.30

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Solution

The fourth proportional to 551,296,998.30, 772,389,753.90 and 551,296,998.30 is: 772,389,753.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,296,998.30 : 772,389,753.90 = 551,296,998.30 : x
  2. Step 2: Convert to fraction form
    551,296,998.30/772,389,753.90 = 551,296,998.30/x
  3. Step 3: Cross multiply
    551,296,998.30x = 772,389,753.90 × 551,296,998.30
  4. Step 4: Simplify right side
    551,296,998.30x = 425,816,152,842,745,664
  5. Step 5: Solve for x
    x = 425,816,152,842,745,664/551,296,998.30
  6. Step 6: Final answer
    x = 772,389,753.90

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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.