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Finding the Fourth Proportional to 1,346,178,507.96, 2,019,978,709.47 and 955,231,539.78

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Solution

The fourth proportional to 1,346,178,507.96, 2,019,978,709.47 and 955,231,539.78 is: 1,433,351,789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,178,507.96 : 2,019,978,709.47 = 955,231,539.78 : x
  2. Step 2: Convert to fraction form
    1,346,178,507.96/2,019,978,709.47 = 955,231,539.78/x
  3. Step 3: Cross multiply
    1,346,178,507.96x = 2,019,978,709.47 × 955,231,539.78
  4. Step 4: Simplify right side
    1,346,178,507.96x = 1,929,547,372,969,845,248
  5. Step 5: Solve for x
    x = 1,929,547,372,969,845,248/1,346,178,507.96
  6. Step 6: Final answer
    x = 1,433,351,789.20

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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.