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Finding the Fourth Proportional to 689,905,196.80, 1,034,857,795.20 and 689,905,196.80

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Solution

The fourth proportional to 689,905,196.80, 1,034,857,795.20 and 689,905,196.80 is: 1,034,857,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,905,196.80 : 1,034,857,795.20 = 689,905,196.80 : x
  2. Step 2: Convert to fraction form
    689,905,196.80/1,034,857,795.20 = 689,905,196.80/x
  3. Step 3: Cross multiply
    689,905,196.80x = 1,034,857,795.20 × 689,905,196.80
  4. Step 4: Simplify right side
    689,905,196.80x = 713,953,770,857,470,080
  5. Step 5: Solve for x
    x = 713,953,770,857,470,080/689,905,196.80
  6. Step 6: Final answer
    x = 1,034,857,795.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.