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Finding the Fourth Proportional to 465,249,987.96, 642,016,135.98 and 256,394,462.28

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Solution

The fourth proportional to 465,249,987.96, 642,016,135.98 and 256,394,462.28 is: 353,808,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,249,987.96 : 642,016,135.98 = 256,394,462.28 : x
  2. Step 2: Convert to fraction form
    465,249,987.96/642,016,135.98 = 256,394,462.28/x
  3. Step 3: Cross multiply
    465,249,987.96x = 642,016,135.98 × 256,394,462.28
  4. Step 4: Simplify right side
    465,249,987.96x = 164,609,381,959,675,456
  5. Step 5: Solve for x
    x = 164,609,381,959,675,456/465,249,987.96
  6. Step 6: Final answer
    x = 353,808,460.44

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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.