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Finding the Fourth Proportional to 613,282,914,024.45, 919,924,371,036.67 and 613,282,914,024.45

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Solution

The fourth proportional to 613,282,914,024.45, 919,924,371,036.67 and 613,282,914,024.45 is: 919,924,371,036.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,282,914,024.45 : 919,924,371,036.67 = 613,282,914,024.45 : x
  2. Step 2: Convert to fraction form
    613,282,914,024.45/919,924,371,036.67 = 613,282,914,024.45/x
  3. Step 3: Cross multiply
    613,282,914,024.45x = 919,924,371,036.67 × 613,282,914,024.45
  4. Step 4: Simplify right side
    613,282,914,024.45x = 564,173,898,951,478,342,582,272
  5. Step 5: Solve for x
    x = 564,173,898,951,478,342,582,272/613,282,914,024.45
  6. Step 6: Final answer
    x = 919,924,371,036.67

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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.