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Finding the Fourth Proportional to 594,655,697.84, 820,648,177.32 and 406,877,849.36

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Solution

The fourth proportional to 594,655,697.84, 820,648,177.32 and 406,877,849.36 is: 561,507,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,655,697.84 : 820,648,177.32 = 406,877,849.36 : x
  2. Step 2: Convert to fraction form
    594,655,697.84/820,648,177.32 = 406,877,849.36/x
  3. Step 3: Cross multiply
    594,655,697.84x = 820,648,177.32 × 406,877,849.36
  4. Step 4: Simplify right side
    594,655,697.84x = 333,903,565,469,165,568
  5. Step 5: Solve for x
    x = 333,903,565,469,165,568/594,655,697.84
  6. Step 6: Final answer
    x = 561,507,384.33

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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.