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Finding the Fourth Proportional to 411,870,663.70, 617,796,549.14 and 207,343,815.70

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Solution

The fourth proportional to 411,870,663.70, 617,796,549.14 and 207,343,815.70 is: 311,010,968.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,870,663.70 : 617,796,549.14 = 207,343,815.70 : x
  2. Step 2: Convert to fraction form
    411,870,663.70/617,796,549.14 = 207,343,815.70/x
  3. Step 3: Cross multiply
    411,870,663.70x = 617,796,549.14 × 207,343,815.70
  4. Step 4: Simplify right side
    411,870,663.70x = 128,096,293,824,980,144
  5. Step 5: Solve for x
    x = 128,096,293,824,980,144/411,870,663.70
  6. Step 6: Final answer
    x = 311,010,968.04

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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.