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Finding the Fourth Proportional to 613,165,722.30, 919,748,583.45 and 613,165,722.30

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Solution

The fourth proportional to 613,165,722.30, 919,748,583.45 and 613,165,722.30 is: 919,748,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,165,722.30 : 919,748,583.45 = 613,165,722.30 : x
  2. Step 2: Convert to fraction form
    613,165,722.30/919,748,583.45 = 613,165,722.30/x
  3. Step 3: Cross multiply
    613,165,722.30x = 919,748,583.45 × 613,165,722.30
  4. Step 4: Simplify right side
    613,165,722.30x = 563,958,304,505,521,088
  5. Step 5: Solve for x
    x = 563,958,304,505,521,088/613,165,722.30
  6. Step 6: Final answer
    x = 919,748,583.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.