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Finding the Fourth Proportional to 597,881,836.80, 896,964,472.80 and 306,793,886.40

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Solution

The fourth proportional to 597,881,836.80, 896,964,472.80 and 306,793,886.40 is: 460,263,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,881,836.80 : 896,964,472.80 = 306,793,886.40 : x
  2. Step 2: Convert to fraction form
    597,881,836.80/896,964,472.80 = 306,793,886.40/x
  3. Step 3: Cross multiply
    597,881,836.80x = 896,964,472.80 × 306,793,886.40
  4. Step 4: Simplify right side
    597,881,836.80x = 275,183,216,573,039,040
  5. Step 5: Solve for x
    x = 275,183,216,573,039,040/597,881,836.80
  6. Step 6: Final answer
    x = 460,263,549.81

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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.