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Finding the Fourth Proportional to 413,494,706.10, 620,242,059.15 and 413,494,706.10

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Solution

The fourth proportional to 413,494,706.10, 620,242,059.15 and 413,494,706.10 is: 620,242,059.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,494,706.10 : 620,242,059.15 = 413,494,706.10 : x
  2. Step 2: Convert to fraction form
    413,494,706.10/620,242,059.15 = 413,494,706.10/x
  3. Step 3: Cross multiply
    413,494,706.10x = 620,242,059.15 × 413,494,706.10
  4. Step 4: Simplify right side
    413,494,706.10x = 256,466,807,959,088,064
  5. Step 5: Solve for x
    x = 256,466,807,959,088,064/413,494,706.10
  6. Step 6: Final answer
    x = 620,242,059.15

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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.