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Finding the Fourth Proportional to 802,484,844.30, 1,203,727,266.45 and 802,484,844.30

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Solution

The fourth proportional to 802,484,844.30, 1,203,727,266.45 and 802,484,844.30 is: 1,203,727,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,484,844.30 : 1,203,727,266.45 = 802,484,844.30 : x
  2. Step 2: Convert to fraction form
    802,484,844.30/1,203,727,266.45 = 802,484,844.30/x
  3. Step 3: Cross multiply
    802,484,844.30x = 1,203,727,266.45 × 802,484,844.30
  4. Step 4: Simplify right side
    802,484,844.30x = 965,972,887,996,792,832
  5. Step 5: Solve for x
    x = 965,972,887,996,792,832/802,484,844.30
  6. Step 6: Final answer
    x = 1,203,727,266.45

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1.5x scale

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.