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Finding the Fourth Proportional to 200,348,983.40, 300,348,515.10 and 77,611,044.20

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Solution

The fourth proportional to 200,348,983.40, 300,348,515.10 and 77,611,044.20 is: 116,348,790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,348,983.40 : 300,348,515.10 = 77,611,044.20 : x
  2. Step 2: Convert to fraction form
    200,348,983.40/300,348,515.10 = 77,611,044.20/x
  3. Step 3: Cross multiply
    200,348,983.40x = 300,348,515.10 × 77,611,044.20
  4. Step 4: Simplify right side
    200,348,983.40x = 23,310,361,880,830,472
  5. Step 5: Solve for x
    x = 23,310,361,880,830,472/200,348,983.40
  6. Step 6: Final answer
    x = 116,348,790.42

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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.