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Finding the Fourth Proportional to 517,011,866.64, 713,472,990.30 and 293,993,584.08

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Solution

The fourth proportional to 517,011,866.64, 713,472,990.30 and 293,993,584.08 is: 405,709,220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,011,866.64 : 713,472,990.30 = 293,993,584.08 : x
  2. Step 2: Convert to fraction form
    517,011,866.64/713,472,990.30 = 293,993,584.08/x
  3. Step 3: Cross multiply
    517,011,866.64x = 713,472,990.30 × 293,993,584.08
  4. Step 4: Simplify right side
    517,011,866.64x = 209,756,481,562,572,064
  5. Step 5: Solve for x
    x = 209,756,481,562,572,064/517,011,866.64
  6. Step 6: Final answer
    x = 405,709,220.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.