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Finding the Fourth Proportional to 811,103,640.85, 1,216,655,461.28 and 811,103,640.85

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Solution

The fourth proportional to 811,103,640.85, 1,216,655,461.28 and 811,103,640.85 is: 1,216,655,461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,103,640.85 : 1,216,655,461.28 = 811,103,640.85 : x
  2. Step 2: Convert to fraction form
    811,103,640.85/1,216,655,461.28 = 811,103,640.85/x
  3. Step 3: Cross multiply
    811,103,640.85x = 1,216,655,461.28 × 811,103,640.85
  4. Step 4: Simplify right side
    811,103,640.85x = 986,833,674,304,244,224
  5. Step 5: Solve for x
    x = 986,833,674,304,244,224/811,103,640.85
  6. Step 6: Final answer
    x = 1,216,655,461.28

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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.