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Finding the Fourth Proportional to 540,515,057.40, 810,772,586.10 and 540,515,057.40

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Solution

The fourth proportional to 540,515,057.40, 810,772,586.10 and 540,515,057.40 is: 810,772,586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,515,057.40 : 810,772,586.10 = 540,515,057.40 : x
  2. Step 2: Convert to fraction form
    540,515,057.40/810,772,586.10 = 540,515,057.40/x
  3. Step 3: Cross multiply
    540,515,057.40x = 810,772,586.10 × 540,515,057.40
  4. Step 4: Simplify right side
    540,515,057.40x = 438,234,790,914,187,904
  5. Step 5: Solve for x
    x = 438,234,790,914,187,904/540,515,057.40
  6. Step 6: Final answer
    x = 810,772,586.10

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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.