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Finding the Fourth Proportional to 680,366,601.64, 1,019,720,796 and 352,661,447.80

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Solution

The fourth proportional to 680,366,601.64, 1,019,720,796 and 352,661,447.80 is: 528,562,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,366,601.64 : 1,019,720,796 = 352,661,447.80 : x
  2. Step 2: Convert to fraction form
    680,366,601.64/1,019,720,796 = 352,661,447.80/x
  3. Step 3: Cross multiply
    680,366,601.64x = 1,019,720,796 × 352,661,447.80
  4. Step 4: Simplify right side
    680,366,601.64x = 359,616,212,269,128,448
  5. Step 5: Solve for x
    x = 359,616,212,269,128,448/680,366,601.64
  6. Step 6: Final answer
    x = 528,562,412.39

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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.