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Finding the Fourth Proportional to 600,885,073.98, 827,294,184.45 and 468,556,264.98

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Solution

The fourth proportional to 600,885,073.98, 827,294,184.45 and 468,556,264.98 is: 645,104,845.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,885,073.98 : 827,294,184.45 = 468,556,264.98 : x
  2. Step 2: Convert to fraction form
    600,885,073.98/827,294,184.45 = 468,556,264.98/x
  3. Step 3: Cross multiply
    600,885,073.98x = 827,294,184.45 × 468,556,264.98
  4. Step 4: Simplify right side
    600,885,073.98x = 387,633,873,105,567,232
  5. Step 5: Solve for x
    x = 387,633,873,105,567,232/600,885,073.98
  6. Step 6: Final answer
    x = 645,104,845.99

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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.