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Finding the Fourth Proportional to 769,833,065.60, 1,153,405,905.60 and 662,337,641.60

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Solution

The fourth proportional to 769,833,065.60, 1,153,405,905.60 and 662,337,641.60 is: 992,350,395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,833,065.60 : 1,153,405,905.60 = 662,337,641.60 : x
  2. Step 2: Convert to fraction form
    769,833,065.60/1,153,405,905.60 = 662,337,641.60/x
  3. Step 3: Cross multiply
    769,833,065.60x = 1,153,405,905.60 × 662,337,641.60
  4. Step 4: Simplify right side
    769,833,065.60x = 763,944,147,322,616,192
  5. Step 5: Solve for x
    x = 763,944,147,322,616,192/769,833,065.60
  6. Step 6: Final answer
    x = 992,350,395.77

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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.