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Finding the Fourth Proportional to 492,409,993.71, 738,614,079.86 and 160,416,607.18

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Solution

The fourth proportional to 492,409,993.71, 738,614,079.86 and 160,416,607.18 is: 240,624,614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,409,993.71 : 738,614,079.86 = 160,416,607.18 : x
  2. Step 2: Convert to fraction form
    492,409,993.71/738,614,079.86 = 160,416,607.18/x
  3. Step 3: Cross multiply
    492,409,993.71x = 738,614,079.86 × 160,416,607.18
  4. Step 4: Simplify right side
    492,409,993.71x = 118,485,964,706,518,784
  5. Step 5: Solve for x
    x = 118,485,964,706,518,784/492,409,993.71
  6. Step 6: Final answer
    x = 240,624,614.08

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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.