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Finding the Fourth Proportional to 284,177,064.30, 426,265,596.45 and 284,177,064.30

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Solution

The fourth proportional to 284,177,064.30, 426,265,596.45 and 284,177,064.30 is: 426,265,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,177,064.30 : 426,265,596.45 = 284,177,064.30 : x
  2. Step 2: Convert to fraction form
    284,177,064.30/426,265,596.45 = 284,177,064.30/x
  3. Step 3: Cross multiply
    284,177,064.30x = 426,265,596.45 × 284,177,064.30
  4. Step 4: Simplify right side
    284,177,064.30x = 121,134,905,811,249,504
  5. Step 5: Solve for x
    x = 121,134,905,811,249,504/284,177,064.30
  6. Step 6: Final answer
    x = 426,265,596.45

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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.