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Finding the Fourth Proportional to 1,068,239,856.20, 1,470,744,836.66 and 832,988,640.20

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Solution

The fourth proportional to 1,068,239,856.20, 1,470,744,836.66 and 832,988,640.20 is: 1,146,852,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068,239,856.20 : 1,470,744,836.66 = 832,988,640.20 : x
  2. Step 2: Convert to fraction form
    1,068,239,856.20/1,470,744,836.66 = 832,988,640.20/x
  3. Step 3: Cross multiply
    1,068,239,856.20x = 1,470,744,836.66 × 832,988,640.20
  4. Step 4: Simplify right side
    1,068,239,856.20x = 1,225,113,741,570,584,576
  5. Step 5: Solve for x
    x = 1,225,113,741,570,584,576/1,068,239,856.20
  6. Step 6: Final answer
    x = 1,146,852,679.63

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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.