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Finding the Fourth Proportional to 975,934,656,002.02, 1,463,901,984,003 and 975,934,656,002.02

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Solution

The fourth proportional to 975,934,656,002.02, 1,463,901,984,003 and 975,934,656,002.02 is: 1,463,901,984,003

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,934,656,002.02 : 1,463,901,984,003 = 975,934,656,002.02 : x
  2. Step 2: Convert to fraction form
    975,934,656,002.02/1,463,901,984,003 = 975,934,656,002.02/x
  3. Step 3: Cross multiply
    975,934,656,002.02x = 1,463,901,984,003 × 975,934,656,002.02
  4. Step 4: Simplify right side
    975,934,656,002.02x = 1,428,672,679,178,642,361,679,872
  5. Step 5: Solve for x
    x = 1,428,672,679,178,642,361,679,872/975,934,656,002.02
  6. Step 6: Final answer
    x = 1,463,901,984,003

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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.