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Finding the Fourth Proportional to 668,818,517,466.15, 1,003,227,776,199.20 and 668,818,517,466.15

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Solution

The fourth proportional to 668,818,517,466.15, 1,003,227,776,199.20 and 668,818,517,466.15 is: 1,003,227,776,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,818,517,466.15 : 1,003,227,776,199.20 = 668,818,517,466.15 : x
  2. Step 2: Convert to fraction form
    668,818,517,466.15/1,003,227,776,199.20 = 668,818,517,466.15/x
  3. Step 3: Cross multiply
    668,818,517,466.15x = 1,003,227,776,199.20 × 668,818,517,466.15
  4. Step 4: Simplify right side
    668,818,517,466.15x = 670,977,313,958,411,448,090,624
  5. Step 5: Solve for x
    x = 670,977,313,958,411,448,090,624/668,818,517,466.15
  6. Step 6: Final answer
    x = 1,003,227,776,199.20

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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.