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Finding the Fourth Proportional to 763,624,728.78, 1,053,772,460.70 and 466,764,018.54

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Solution

The fourth proportional to 763,624,728.78, 1,053,772,460.70 and 466,764,018.54 is: 644,116,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,624,728.78 : 1,053,772,460.70 = 466,764,018.54 : x
  2. Step 2: Convert to fraction form
    763,624,728.78/1,053,772,460.70 = 466,764,018.54/x
  3. Step 3: Cross multiply
    763,624,728.78x = 1,053,772,460.70 × 466,764,018.54
  4. Step 4: Simplify right side
    763,624,728.78x = 491,863,068,383,116,288
  5. Step 5: Solve for x
    x = 491,863,068,383,116,288/763,624,728.78
  6. Step 6: Final answer
    x = 644,116,212.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.