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Finding the Fourth Proportional to 365,736,385,294.06, 548,604,577,941.06 and 365,736,385,294.06

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Solution

The fourth proportional to 365,736,385,294.06, 548,604,577,941.06 and 365,736,385,294.06 is: 548,604,577,941.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,736,385,294.06 : 548,604,577,941.06 = 365,736,385,294.06 : x
  2. Step 2: Convert to fraction form
    365,736,385,294.06/548,604,577,941.06 = 365,736,385,294.06/x
  3. Step 3: Cross multiply
    365,736,385,294.06x = 548,604,577,941.06 × 365,736,385,294.06
  4. Step 4: Simplify right side
    365,736,385,294.06x = 200,644,655,291,936,670,744,576
  5. Step 5: Solve for x
    x = 200,644,655,291,936,670,744,576/365,736,385,294.06
  6. Step 6: Final answer
    x = 548,604,577,941.06

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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.