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Finding the Fourth Proportional to 885,855,998.40, 1,328,385,866.40 and 340,416,254.40

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Solution

The fourth proportional to 885,855,998.40, 1,328,385,866.40 and 340,416,254.40 is: 510,471,387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,855,998.40 : 1,328,385,866.40 = 340,416,254.40 : x
  2. Step 2: Convert to fraction form
    885,855,998.40/1,328,385,866.40 = 340,416,254.40/x
  3. Step 3: Cross multiply
    885,855,998.40x = 1,328,385,866.40 × 340,416,254.40
  4. Step 4: Simplify right side
    885,855,998.40x = 452,204,141,037,786,816
  5. Step 5: Solve for x
    x = 452,204,141,037,786,816/885,855,998.40
  6. Step 6: Final answer
    x = 510,471,387.96

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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.