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Finding the Fourth Proportional to 765,252,576,216.30, 1,147,878,864,324.50 and 765,252,576,216.30

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Solution

The fourth proportional to 765,252,576,216.30, 1,147,878,864,324.50 and 765,252,576,216.30 is: 1,147,878,864,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,252,576,216.30 : 1,147,878,864,324.50 = 765,252,576,216.30 : x
  2. Step 2: Convert to fraction form
    765,252,576,216.30/1,147,878,864,324.50 = 765,252,576,216.30/x
  3. Step 3: Cross multiply
    765,252,576,216.30x = 1,147,878,864,324.50 × 765,252,576,216.30
  4. Step 4: Simplify right side
    765,252,576,216.30x = 878,417,258,108,564,380,057,600
  5. Step 5: Solve for x
    x = 878,417,258,108,564,380,057,600/765,252,576,216.30
  6. Step 6: Final answer
    x = 1,147,878,864,324.50

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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.