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Finding the Fourth Proportional to 802,121,617,647.82, 1,203,182,426,471.70 and 802,121,617,647.82

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Solution

The fourth proportional to 802,121,617,647.82, 1,203,182,426,471.70 and 802,121,617,647.82 is: 1,203,182,426,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,121,617,647.82 : 1,203,182,426,471.70 = 802,121,617,647.82 : x
  2. Step 2: Convert to fraction form
    802,121,617,647.82/1,203,182,426,471.70 = 802,121,617,647.82/x
  3. Step 3: Cross multiply
    802,121,617,647.82x = 1,203,182,426,471.70 × 802,121,617,647.82
  4. Step 4: Simplify right side
    802,121,617,647.82x = 965,098,634,246,909,197,287,424
  5. Step 5: Solve for x
    x = 965,098,634,246,909,197,287,424/802,121,617,647.82
  6. Step 6: Final answer
    x = 1,203,182,426,471.70

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Why These Related Problems?

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