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Finding the Fourth Proportional to 654,666,436.08, 982,183,887 and 286,233,743.52

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Solution

The fourth proportional to 654,666,436.08, 982,183,887 and 286,233,743.52 is: 429,431,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,666,436.08 : 982,183,887 = 286,233,743.52 : x
  2. Step 2: Convert to fraction form
    654,666,436.08/982,183,887 = 286,233,743.52/x
  3. Step 3: Cross multiply
    654,666,436.08x = 982,183,887 × 286,233,743.52
  4. Step 4: Simplify right side
    654,666,436.08x = 281,134,170,801,034,656
  5. Step 5: Solve for x
    x = 281,134,170,801,034,656/654,666,436.08
  6. Step 6: Final answer
    x = 429,431,165.72

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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.