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Finding the Fourth Proportional to 465,794,802.30, 697,348,510.65 and 465,794,802.30

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Solution

The fourth proportional to 465,794,802.30, 697,348,510.65 and 465,794,802.30 is: 697,348,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,794,802.30 : 697,348,510.65 = 465,794,802.30 : x
  2. Step 2: Convert to fraction form
    465,794,802.30/697,348,510.65 = 465,794,802.30/x
  3. Step 3: Cross multiply
    465,794,802.30x = 697,348,510.65 × 465,794,802.30
  4. Step 4: Simplify right side
    465,794,802.30x = 324,821,311,652,416,192
  5. Step 5: Solve for x
    x = 324,821,311,652,416,192/465,794,802.30
  6. Step 6: Final answer
    x = 697,348,510.65

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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.