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Finding the Fourth Proportional to 689,478,034.90, 1,034,217,052.35 and 689,478,034.90

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Solution

The fourth proportional to 689,478,034.90, 1,034,217,052.35 and 689,478,034.90 is: 1,034,217,052.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,478,034.90 : 1,034,217,052.35 = 689,478,034.90 : x
  2. Step 2: Convert to fraction form
    689,478,034.90/1,034,217,052.35 = 689,478,034.90/x
  3. Step 3: Cross multiply
    689,478,034.90x = 1,034,217,052.35 × 689,478,034.90
  4. Step 4: Simplify right side
    689,478,034.90x = 713,069,940,914,348,416
  5. Step 5: Solve for x
    x = 713,069,940,914,348,416/689,478,034.90
  6. Step 6: Final answer
    x = 1,034,217,052.35

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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.