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Finding the Fourth Proportional to 580,312,869.60, 870,469,304.40 and 547,056,472.80

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Solution

The fourth proportional to 580,312,869.60, 870,469,304.40 and 547,056,472.80 is: 820,584,709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,312,869.60 : 870,469,304.40 = 547,056,472.80 : x
  2. Step 2: Convert to fraction form
    580,312,869.60/870,469,304.40 = 547,056,472.80/x
  3. Step 3: Cross multiply
    580,312,869.60x = 870,469,304.40 × 547,056,472.80
  4. Step 4: Simplify right side
    580,312,869.60x = 476,195,867,345,733,440
  5. Step 5: Solve for x
    x = 476,195,867,345,733,440/580,312,869.60
  6. Step 6: Final answer
    x = 820,584,709.20

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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.