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Finding the Fourth Proportional to 1,000,675,717.16, 1,498,901,942.48 and 802,868,186.48

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Solution

The fourth proportional to 1,000,675,717.16, 1,498,901,942.48 and 802,868,186.48 is: 1,202,608,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,675,717.16 : 1,498,901,942.48 = 802,868,186.48 : x
  2. Step 2: Convert to fraction form
    1,000,675,717.16/1,498,901,942.48 = 802,868,186.48/x
  3. Step 3: Cross multiply
    1,000,675,717.16x = 1,498,901,942.48 × 802,868,186.48
  4. Step 4: Simplify right side
    1,000,675,717.16x = 1,203,420,684,258,757,888
  5. Step 5: Solve for x
    x = 1,203,420,684,258,757,888/1,000,675,717.16
  6. Step 6: Final answer
    x = 1,202,608,061.36

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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.