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Finding the Fourth Proportional to 689,851,702.10, 1,034,777,553.15 and 689,851,702.10

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Solution

The fourth proportional to 689,851,702.10, 1,034,777,553.15 and 689,851,702.10 is: 1,034,777,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,851,702.10 : 1,034,777,553.15 = 689,851,702.10 : x
  2. Step 2: Convert to fraction form
    689,851,702.10/1,034,777,553.15 = 689,851,702.10/x
  3. Step 3: Cross multiply
    689,851,702.10x = 1,034,777,553.15 × 689,851,702.10
  4. Step 4: Simplify right side
    689,851,702.10x = 713,843,056,335,400,704
  5. Step 5: Solve for x
    x = 713,843,056,335,400,704/689,851,702.10
  6. Step 6: Final answer
    x = 1,034,777,553.15

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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.