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Finding the Fourth Proportional to 802,278,046.23, 1,201,503,881.73 and 802,278,046.23

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Solution

The fourth proportional to 802,278,046.23, 1,201,503,881.73 and 802,278,046.23 is: 1,201,503,881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,278,046.23 : 1,201,503,881.73 = 802,278,046.23 : x
  2. Step 2: Convert to fraction form
    802,278,046.23/1,201,503,881.73 = 802,278,046.23/x
  3. Step 3: Cross multiply
    802,278,046.23x = 1,201,503,881.73 × 802,278,046.23
  4. Step 4: Simplify right side
    802,278,046.23x = 963,940,186,772,105,472
  5. Step 5: Solve for x
    x = 963,940,186,772,105,472/802,278,046.23
  6. Step 6: Final answer
    x = 1,201,503,881.73

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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.