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Finding the Fourth Proportional to 465,794,802.80, 697,348,511.40 and 465,794,802.80

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Solution

The fourth proportional to 465,794,802.80, 697,348,511.40 and 465,794,802.80 is: 697,348,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,794,802.80 : 697,348,511.40 = 465,794,802.80 : x
  2. Step 2: Convert to fraction form
    465,794,802.80/697,348,511.40 = 465,794,802.80/x
  3. Step 3: Cross multiply
    465,794,802.80x = 697,348,511.40 × 465,794,802.80
  4. Step 4: Simplify right side
    465,794,802.80x = 324,821,312,350,436,544
  5. Step 5: Solve for x
    x = 324,821,312,350,436,544/465,794,802.80
  6. Step 6: Final answer
    x = 697,348,511.40

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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.