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Finding the Fourth Proportional to 365,736,385,299.06, 548,604,577,948.56 and 365,736,385,299.06

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Solution

The fourth proportional to 365,736,385,299.06, 548,604,577,948.56 and 365,736,385,299.06 is: 548,604,577,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,736,385,299.06 : 548,604,577,948.56 = 365,736,385,299.06 : x
  2. Step 2: Convert to fraction form
    365,736,385,299.06/548,604,577,948.56 = 365,736,385,299.06/x
  3. Step 3: Cross multiply
    365,736,385,299.06x = 548,604,577,948.56 × 365,736,385,299.06
  4. Step 4: Simplify right side
    365,736,385,299.06x = 200,644,655,297,422,719,713,280
  5. Step 5: Solve for x
    x = 200,644,655,297,422,719,713,280/365,736,385,299.06
  6. Step 6: Final answer
    x = 548,604,577,948.56

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1.5x scale

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.