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Finding the Fourth Proportional to 402,873,998.70, 604,310,998.05 and 402,873,998.70

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Solution

The fourth proportional to 402,873,998.70, 604,310,998.05 and 402,873,998.70 is: 604,310,998.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,873,998.70 : 604,310,998.05 = 402,873,998.70 : x
  2. Step 2: Convert to fraction form
    402,873,998.70/604,310,998.05 = 402,873,998.70/x
  3. Step 3: Cross multiply
    402,873,998.70x = 604,310,998.05 × 402,873,998.70
  4. Step 4: Simplify right side
    402,873,998.70x = 243,461,188,242,791,392
  5. Step 5: Solve for x
    x = 243,461,188,242,791,392/402,873,998.70
  6. Step 6: Final answer
    x = 604,310,998.05

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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.