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Finding the Fourth Proportional to 540,736,701.90, 811,057,813.65 and 177,231,057.90

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Solution

The fourth proportional to 540,736,701.90, 811,057,813.65 and 177,231,057.90 is: 265,831,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,736,701.90 : 811,057,813.65 = 177,231,057.90 : x
  2. Step 2: Convert to fraction form
    540,736,701.90/811,057,813.65 = 177,231,057.90/x
  3. Step 3: Cross multiply
    540,736,701.90x = 811,057,813.65 × 177,231,057.90
  4. Step 4: Simplify right side
    540,736,701.90x = 143,744,634,331,250,560
  5. Step 5: Solve for x
    x = 143,744,634,331,250,560/540,736,701.90
  6. Step 6: Final answer
    x = 265,831,103.80

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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.