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Finding the Fourth Proportional to 268,272,894.80, 402,409,342.20 and 268,272,894.80

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Solution

The fourth proportional to 268,272,894.80, 402,409,342.20 and 268,272,894.80 is: 402,409,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,272,894.80 : 402,409,342.20 = 268,272,894.80 : x
  2. Step 2: Convert to fraction form
    268,272,894.80/402,409,342.20 = 268,272,894.80/x
  3. Step 3: Cross multiply
    268,272,894.80x = 402,409,342.20 × 268,272,894.80
  4. Step 4: Simplify right side
    268,272,894.80x = 107,955,519,126,557,808
  5. Step 5: Solve for x
    x = 107,955,519,126,557,808/268,272,894.80
  6. Step 6: Final answer
    x = 402,409,342.20

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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.