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Finding the Fourth Proportional to 755,682,006.10, 1,133,523,009.15 and 755,682,006.10

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Solution

The fourth proportional to 755,682,006.10, 1,133,523,009.15 and 755,682,006.10 is: 1,133,523,009.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,682,006.10 : 1,133,523,009.15 = 755,682,006.10 : x
  2. Step 2: Convert to fraction form
    755,682,006.10/1,133,523,009.15 = 755,682,006.10/x
  3. Step 3: Cross multiply
    755,682,006.10x = 1,133,523,009.15 × 755,682,006.10
  4. Step 4: Simplify right side
    755,682,006.10x = 856,582,941,514,980,736
  5. Step 5: Solve for x
    x = 856,582,941,514,980,736/755,682,006.10
  6. Step 6: Final answer
    x = 1,133,523,009.15

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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.