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Finding the Fourth Proportional to 489,641,619.40, 686,405,259.80 and 489,641,619.40

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Solution

The fourth proportional to 489,641,619.40, 686,405,259.80 and 489,641,619.40 is: 686,405,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,641,619.40 : 686,405,259.80 = 489,641,619.40 : x
  2. Step 2: Convert to fraction form
    489,641,619.40/686,405,259.80 = 489,641,619.40/x
  3. Step 3: Cross multiply
    489,641,619.40x = 686,405,259.80 × 489,641,619.40
  4. Step 4: Simplify right side
    489,641,619.40x = 336,092,582,973,149,696
  5. Step 5: Solve for x
    x = 336,092,582,973,149,696/489,641,619.40
  6. Step 6: Final answer
    x = 686,405,259.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.