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Finding the Fourth Proportional to 697,721,605.20, 1,046,582,407.80 and 697,721,605.20

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Solution

The fourth proportional to 697,721,605.20, 1,046,582,407.80 and 697,721,605.20 is: 1,046,582,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,721,605.20 : 1,046,582,407.80 = 697,721,605.20 : x
  2. Step 2: Convert to fraction form
    697,721,605.20/1,046,582,407.80 = 697,721,605.20/x
  3. Step 3: Cross multiply
    697,721,605.20x = 1,046,582,407.80 × 697,721,605.20
  4. Step 4: Simplify right side
    697,721,605.20x = 730,223,157,544,296,960
  5. Step 5: Solve for x
    x = 730,223,157,544,296,960/697,721,605.20
  6. Step 6: Final answer
    x = 1,046,582,407.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.