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Finding the Fourth Proportional to 508,409,618.40, 762,685,286.40 and 217,274,428.80

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Solution

The fourth proportional to 508,409,618.40, 762,685,286.40 and 217,274,428.80 is: 325,941,925.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,409,618.40 : 762,685,286.40 = 217,274,428.80 : x
  2. Step 2: Convert to fraction form
    508,409,618.40/762,685,286.40 = 217,274,428.80/x
  3. Step 3: Cross multiply
    508,409,618.40x = 762,685,286.40 × 217,274,428.80
  4. Step 4: Simplify right side
    508,409,618.40x = 165,712,009,956,724,416
  5. Step 5: Solve for x
    x = 165,712,009,956,724,416/508,409,618.40
  6. Step 6: Final answer
    x = 325,941,925.49

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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.