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Finding the Fourth Proportional to 580,646,999.80, 870,970,499.70 and 257,530,871.80

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Solution

The fourth proportional to 580,646,999.80, 870,970,499.70 and 257,530,871.80 is: 386,296,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,646,999.80 : 870,970,499.70 = 257,530,871.80 : x
  2. Step 2: Convert to fraction form
    580,646,999.80/870,970,499.70 = 257,530,871.80/x
  3. Step 3: Cross multiply
    580,646,999.80x = 870,970,499.70 × 257,530,871.80
  4. Step 4: Simplify right side
    580,646,999.80x = 224,301,792,099,822,656
  5. Step 5: Solve for x
    x = 224,301,792,099,822,656/580,646,999.80
  6. Step 6: Final answer
    x = 386,296,307.70

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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.