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Finding the Fourth Proportional to 494,857,657.90, 742,097,530.05 and 149,696,569.90

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Solution

The fourth proportional to 494,857,657.90, 742,097,530.05 and 149,696,569.90 is: 224,487,694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,857,657.90 : 742,097,530.05 = 149,696,569.90 : x
  2. Step 2: Convert to fraction form
    494,857,657.90/742,097,530.05 = 149,696,569.90/x
  3. Step 3: Cross multiply
    494,857,657.90x = 742,097,530.05 × 149,696,569.90
  4. Step 4: Simplify right side
    494,857,657.90x = 111,089,454,779,747,168
  5. Step 5: Solve for x
    x = 111,089,454,779,747,168/494,857,657.90
  6. Step 6: Final answer
    x = 224,487,694.61

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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.