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Finding the Fourth Proportional to 865,949,532.30, 1,195,183,961.64 and 513,721,032.30

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Solution

The fourth proportional to 865,949,532.30, 1,195,183,961.64 and 513,721,032.30 is: 709,038,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,949,532.30 : 1,195,183,961.64 = 513,721,032.30 : x
  2. Step 2: Convert to fraction form
    865,949,532.30/1,195,183,961.64 = 513,721,032.30/x
  3. Step 3: Cross multiply
    865,949,532.30x = 1,195,183,961.64 × 513,721,032.30
  4. Step 4: Simplify right side
    865,949,532.30x = 613,991,138,562,104,448
  5. Step 5: Solve for x
    x = 613,991,138,562,104,448/865,949,532.30
  6. Step 6: Final answer
    x = 709,038,016.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.