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Finding the Fourth Proportional to 646,554,933.56, 969,840,798.42 and 215,733,429.56

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Solution

The fourth proportional to 646,554,933.56, 969,840,798.42 and 215,733,429.56 is: 323,602,946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,554,933.56 : 969,840,798.42 = 215,733,429.56 : x
  2. Step 2: Convert to fraction form
    646,554,933.56/969,840,798.42 = 215,733,429.56/x
  3. Step 3: Cross multiply
    646,554,933.56x = 969,840,798.42 × 215,733,429.56
  4. Step 4: Simplify right side
    646,554,933.56x = 209,227,081,573,588,832
  5. Step 5: Solve for x
    x = 209,227,081,573,588,832/646,554,933.56
  6. Step 6: Final answer
    x = 323,602,946.50

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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.