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Finding the Fourth Proportional to 689,852,586.60, 1,034,778,879.90 and 689,852,586.60

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Solution

The fourth proportional to 689,852,586.60, 1,034,778,879.90 and 689,852,586.60 is: 1,034,778,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,852,586.60 : 1,034,778,879.90 = 689,852,586.60 : x
  2. Step 2: Convert to fraction form
    689,852,586.60/1,034,778,879.90 = 689,852,586.60/x
  3. Step 3: Cross multiply
    689,852,586.60x = 1,034,778,879.90 × 689,852,586.60
  4. Step 4: Simplify right side
    689,852,586.60x = 713,844,886,858,065,792
  5. Step 5: Solve for x
    x = 713,844,886,858,065,792/689,852,586.60
  6. Step 6: Final answer
    x = 1,034,778,879.90

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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.