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Finding the Fourth Proportional to 689,851,617.10, 1,034,777,425.65 and 689,851,617.10

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Solution

The fourth proportional to 689,851,617.10, 1,034,777,425.65 and 689,851,617.10 is: 1,034,777,425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,851,617.10 : 1,034,777,425.65 = 689,851,617.10 : x
  2. Step 2: Convert to fraction form
    689,851,617.10/1,034,777,425.65 = 689,851,617.10/x
  3. Step 3: Cross multiply
    689,851,617.10x = 1,034,777,425.65 × 689,851,617.10
  4. Step 4: Simplify right side
    689,851,617.10x = 713,842,880,423,227,520
  5. Step 5: Solve for x
    x = 713,842,880,423,227,520/689,851,617.10
  6. Step 6: Final answer
    x = 1,034,777,425.65

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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.