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Finding the Fourth Proportional to 613,282,914,466.20, 919,924,371,699.30 and 613,282,914,466.20

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Solution

The fourth proportional to 613,282,914,466.20, 919,924,371,699.30 and 613,282,914,466.20 is: 919,924,371,699.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,282,914,466.20 : 919,924,371,699.30 = 613,282,914,466.20 : x
  2. Step 2: Convert to fraction form
    613,282,914,466.20/919,924,371,699.30 = 613,282,914,466.20/x
  3. Step 3: Cross multiply
    613,282,914,466.20x = 919,924,371,699.30 × 613,282,914,466.20
  4. Step 4: Simplify right side
    613,282,914,466.20x = 564,173,899,764,234,532,683,776
  5. Step 5: Solve for x
    x = 564,173,899,764,234,532,683,776/613,282,914,466.20
  6. Step 6: Final answer
    x = 919,924,371,699.30

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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.