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Finding the Fourth Proportional to 1,090,936,803.80, 1,636,405,205.70 and 763,781,724.20

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Solution

The fourth proportional to 1,090,936,803.80, 1,636,405,205.70 and 763,781,724.20 is: 1,145,672,586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090,936,803.80 : 1,636,405,205.70 = 763,781,724.20 : x
  2. Step 2: Convert to fraction form
    1,090,936,803.80/1,636,405,205.70 = 763,781,724.20/x
  3. Step 3: Cross multiply
    1,090,936,803.80x = 1,636,405,205.70 × 763,781,724.20
  4. Step 4: Simplify right side
    1,090,936,803.80x = 1,249,856,389,499,401,728
  5. Step 5: Solve for x
    x = 1,249,856,389,499,401,728/1,090,936,803.80
  6. Step 6: Final answer
    x = 1,145,672,586.30

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Why These Related Problems?

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