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Finding the Fourth Proportional to 680,366,597.64, 1,019,720,790 and 352,661,443.80

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Solution

The fourth proportional to 680,366,597.64, 1,019,720,790 and 352,661,443.80 is: 528,562,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,366,597.64 : 1,019,720,790 = 352,661,443.80 : x
  2. Step 2: Convert to fraction form
    680,366,597.64/1,019,720,790 = 352,661,443.80/x
  3. Step 3: Cross multiply
    680,366,597.64x = 1,019,720,790 × 352,661,443.80
  4. Step 4: Simplify right side
    680,366,597.64x = 359,616,206,074,276,608
  5. Step 5: Solve for x
    x = 359,616,206,074,276,608/680,366,597.64
  6. Step 6: Final answer
    x = 528,562,406.39

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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.