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Finding the Fourth Proportional to 365,736,385,264.05, 548,604,577,896.10 and 365,736,385,264.05

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Solution

The fourth proportional to 365,736,385,264.05, 548,604,577,896.10 and 365,736,385,264.05 is: 548,604,577,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,736,385,264.05 : 548,604,577,896.10 = 365,736,385,264.05 : x
  2. Step 2: Convert to fraction form
    365,736,385,264.05/548,604,577,896.10 = 365,736,385,264.05/x
  3. Step 3: Cross multiply
    365,736,385,264.05x = 548,604,577,896.10 × 365,736,385,264.05
  4. Step 4: Simplify right side
    365,736,385,264.05x = 200,644,655,259,029,537,292,288
  5. Step 5: Solve for x
    x = 200,644,655,259,029,537,292,288/365,736,385,264.05
  6. Step 6: Final answer
    x = 548,604,577,896.10

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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.