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Finding the Fourth Proportional to 580,652,023.30, 870,978,034.95 and 257,535,895.30

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Solution

The fourth proportional to 580,652,023.30, 870,978,034.95 and 257,535,895.30 is: 386,303,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,652,023.30 : 870,978,034.95 = 257,535,895.30 : x
  2. Step 2: Convert to fraction form
    580,652,023.30/870,978,034.95 = 257,535,895.30/x
  3. Step 3: Cross multiply
    580,652,023.30x = 870,978,034.95 × 257,535,895.30
  4. Step 4: Simplify right side
    580,652,023.30x = 224,308,108,017,482,976
  5. Step 5: Solve for x
    x = 224,308,108,017,482,976/580,652,023.30
  6. Step 6: Final answer
    x = 386,303,842.95

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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.