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Finding the Fourth Proportional to 256,131,502.84, 353,461,588.03 and 138,656,829.28

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Solution

The fourth proportional to 256,131,502.84, 353,461,588.03 and 138,656,829.28 is: 191,346,486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,131,502.84 : 353,461,588.03 = 138,656,829.28 : x
  2. Step 2: Convert to fraction form
    256,131,502.84/353,461,588.03 = 138,656,829.28/x
  3. Step 3: Cross multiply
    256,131,502.84x = 353,461,588.03 × 138,656,829.28
  4. Step 4: Simplify right side
    256,131,502.84x = 49,009,863,067,976,392
  5. Step 5: Solve for x
    x = 49,009,863,067,976,392/256,131,502.84
  6. Step 6: Final answer
    x = 191,346,486.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.