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Finding the Fourth Proportional to 268,650,302.80, 402,303,607.80 and 214,902,590.80

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Solution

The fourth proportional to 268,650,302.80, 402,303,607.80 and 214,902,590.80 is: 321,816,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,650,302.80 : 402,303,607.80 = 214,902,590.80 : x
  2. Step 2: Convert to fraction form
    268,650,302.80/402,303,607.80 = 214,902,590.80/x
  3. Step 3: Cross multiply
    268,650,302.80x = 402,303,607.80 × 214,902,590.80
  4. Step 4: Simplify right side
    268,650,302.80x = 86,456,087,604,407,088
  5. Step 5: Solve for x
    x = 86,456,087,604,407,088/268,650,302.80
  6. Step 6: Final answer
    x = 321,816,453.22

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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.