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Finding the Fourth Proportional to 633,880,559,511.02, 950,820,839,266.53 and 633,880,559,511.02

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Solution

The fourth proportional to 633,880,559,511.02, 950,820,839,266.53 and 633,880,559,511.02 is: 950,820,839,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,880,559,511.02 : 950,820,839,266.53 = 633,880,559,511.02 : x
  2. Step 2: Convert to fraction form
    633,880,559,511.02/950,820,839,266.53 = 633,880,559,511.02/x
  3. Step 3: Cross multiply
    633,880,559,511.02x = 950,820,839,266.53 × 633,880,559,511.02
  4. Step 4: Simplify right side
    633,880,559,511.02x = 602,706,845,589,005,687,324,672
  5. Step 5: Solve for x
    x = 602,706,845,589,005,687,324,672/633,880,559,511.02
  6. Step 6: Final answer
    x = 950,820,839,266.53

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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.