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Finding the Fourth Proportional to 315,543,175.80, 473,314,763.70 and 315,543,175.80

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Solution

The fourth proportional to 315,543,175.80, 473,314,763.70 and 315,543,175.80 is: 473,314,763.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,543,175.80 : 473,314,763.70 = 315,543,175.80 : x
  2. Step 2: Convert to fraction form
    315,543,175.80/473,314,763.70 = 315,543,175.80/x
  3. Step 3: Cross multiply
    315,543,175.80x = 473,314,763.70 × 315,543,175.80
  4. Step 4: Simplify right side
    315,543,175.80x = 149,351,243,690,924,576
  5. Step 5: Solve for x
    x = 149,351,243,690,924,576/315,543,175.80
  6. Step 6: Final answer
    x = 473,314,763.70

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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.