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Finding the Fourth Proportional to 515,993,684.90, 724,431,892.30 and 515,993,684.90

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Solution

The fourth proportional to 515,993,684.90, 724,431,892.30 and 515,993,684.90 is: 724,431,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,993,684.90 : 724,431,892.30 = 515,993,684.90 : x
  2. Step 2: Convert to fraction form
    515,993,684.90/724,431,892.30 = 515,993,684.90/x
  3. Step 3: Cross multiply
    515,993,684.90x = 724,431,892.30 × 515,993,684.90
  4. Step 4: Simplify right side
    515,993,684.90x = 373,802,281,566,956,864
  5. Step 5: Solve for x
    x = 373,802,281,566,956,864/515,993,684.90
  6. Step 6: Final answer
    x = 724,431,892.30

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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.