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Finding the Fourth Proportional to 1,300,092,409.84, 1,948,990,689.68 and 994,747,668.88

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Solution

The fourth proportional to 1,300,092,409.84, 1,948,990,689.68 and 994,747,668.88 is: 1,491,243,184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,092,409.84 : 1,948,990,689.68 = 994,747,668.88 : x
  2. Step 2: Convert to fraction form
    1,300,092,409.84/1,948,990,689.68 = 994,747,668.88/x
  3. Step 3: Cross multiply
    1,300,092,409.84x = 1,948,990,689.68 × 994,747,668.88
  4. Step 4: Simplify right side
    1,300,092,409.84x = 1,938,753,945,228,003,584
  5. Step 5: Solve for x
    x = 1,938,753,945,228,003,584/1,300,092,409.84
  6. Step 6: Final answer
    x = 1,491,243,184.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.