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Finding the Fourth Proportional to 865,197,696.50, 1,297,796,560.13 and 210,144,308.28

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Solution

The fourth proportional to 865,197,696.50, 1,297,796,560.13 and 210,144,308.28 is: 315,216,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,197,696.50 : 1,297,796,560.13 = 210,144,308.28 : x
  2. Step 2: Convert to fraction form
    865,197,696.50/1,297,796,560.13 = 210,144,308.28/x
  3. Step 3: Cross multiply
    865,197,696.50x = 1,297,796,560.13 × 210,144,308.28
  4. Step 4: Simplify right side
    865,197,696.50x = 272,724,560,415,631,552
  5. Step 5: Solve for x
    x = 272,724,560,415,631,552/865,197,696.50
  6. Step 6: Final answer
    x = 315,216,466.16

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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.