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Finding the Fourth Proportional to 975,934,656,010.80, 1,463,901,984,016.20 and 975,934,656,010.80

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Solution

The fourth proportional to 975,934,656,010.80, 1,463,901,984,016.20 and 975,934,656,010.80 is: 1,463,901,984,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,934,656,010.80 : 1,463,901,984,016.20 = 975,934,656,010.80 : x
  2. Step 2: Convert to fraction form
    975,934,656,010.80/1,463,901,984,016.20 = 975,934,656,010.80/x
  3. Step 3: Cross multiply
    975,934,656,010.80x = 1,463,901,984,016.20 × 975,934,656,010.80
  4. Step 4: Simplify right side
    975,934,656,010.80x = 1,428,672,679,204,377,805,717,504
  5. Step 5: Solve for x
    x = 1,428,672,679,204,377,805,717,504/975,934,656,010.80
  6. Step 6: Final answer
    x = 1,463,901,984,016.20

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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.